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Finding the Fourth Proportional to 464.21, 696.32 and 190.23

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Solution

The fourth proportional to 464.21, 696.32 and 190.23 is: 285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.21 : 696.32 = 190.23 : x
  2. Step 2: Convert to fraction form
    464.21/696.32 = 190.23/x
  3. Step 3: Cross multiply
    464.21x = 696.32 × 190.23
  4. Step 4: Simplify right side
    464.21x = 132,460.00
  5. Step 5: Solve for x
    x = 132,460.00/464.21
  6. Step 6: Final answer
    x = 285.35

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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.