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Finding the Fourth Proportional to 508.78, 762.99 and 200.71

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Solution

The fourth proportional to 508.78, 762.99 and 200.71 is: 300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.78 : 762.99 = 200.71 : x
  2. Step 2: Convert to fraction form
    508.78/762.99 = 200.71/x
  3. Step 3: Cross multiply
    508.78x = 762.99 × 200.71
  4. Step 4: Simplify right side
    508.78x = 153,139.72
  5. Step 5: Solve for x
    x = 153,139.72/508.78
  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.