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Finding the Fourth Proportional to 508.71, 763.14 and 220.14

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Solution

The fourth proportional to 508.71, 763.14 and 220.14 is: 330.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 763.14 = 220.14 : x
  2. Step 2: Convert to fraction form
    508.71/763.14 = 220.14/x
  3. Step 3: Cross multiply
    508.71x = 763.14 × 220.14
  4. Step 4: Simplify right side
    508.71x = 167,997.64
  5. Step 5: Solve for x
    x = 167,997.64/508.71
  6. Step 6: Final answer
    x = 330.24

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Double scale
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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.