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Finding the Fourth Proportional to 508.71, 763.08 and 216.27

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Solution

The fourth proportional to 508.71, 763.08 and 216.27 is: 324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 763.08 = 216.27 : x
  2. Step 2: Convert to fraction form
    508.71/763.08 = 216.27/x
  3. Step 3: Cross multiply
    508.71x = 763.08 × 216.27
  4. Step 4: Simplify right side
    508.71x = 165,031.31
  5. Step 5: Solve for x
    x = 165,031.31/508.71
  6. Step 6: Final answer
    x = 324.41

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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.