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Finding the Fourth Proportional to 508.71, 763.54 and 200.78

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Solution

The fourth proportional to 508.71, 763.54 and 200.78 is: 301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 763.54 = 200.78 : x
  2. Step 2: Convert to fraction form
    508.71/763.54 = 200.78/x
  3. Step 3: Cross multiply
    508.71x = 763.54 × 200.78
  4. Step 4: Simplify right side
    508.71x = 153,299.24
  5. Step 5: Solve for x
    x = 153,299.24/508.71
  6. Step 6: Final answer
    x = 301.35

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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.