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Finding the Fourth Proportional to 1,025.66, 1,538.48 and 256.16

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Solution

The fourth proportional to 1,025.66, 1,538.48 and 256.16 is: 384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.66 : 1,538.48 = 256.16 : x
  2. Step 2: Convert to fraction form
    1,025.66/1,538.48 = 256.16/x
  3. Step 3: Cross multiply
    1,025.66x = 1,538.48 × 256.16
  4. Step 4: Simplify right side
    1,025.66x = 394,097.04
  5. Step 5: Solve for x
    x = 394,097.04/1,025.66
  6. Step 6: Final answer
    x = 384.24

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.