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Finding the Fourth Proportional to 508.71, 762.61 and 200.78

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Solution

The fourth proportional to 508.71, 762.61 and 200.78 is: 300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.71 : 762.61 = 200.78 : x
  2. Step 2: Convert to fraction form
    508.71/762.61 = 200.78/x
  3. Step 3: Cross multiply
    508.71x = 762.61 × 200.78
  4. Step 4: Simplify right side
    508.71x = 153,116.84
  5. Step 5: Solve for x
    x = 153,116.84/508.71
  6. Step 6: Final answer
    x = 300.99

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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.