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Finding the Fourth Proportional to 940.76, 1,411.14 and 256.76

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Solution

The fourth proportional to 940.76, 1,411.14 and 256.76 is: 385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.76 : 1,411.14 = 256.76 : x
  2. Step 2: Convert to fraction form
    940.76/1,411.14 = 256.76/x
  3. Step 3: Cross multiply
    940.76x = 1,411.14 × 256.76
  4. Step 4: Simplify right side
    940.76x = 362,324.31
  5. Step 5: Solve for x
    x = 362,324.31/940.76
  6. Step 6: Final answer
    x = 385.14

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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.