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Finding the Fourth Proportional to 508.17, 762.11 and 199.97

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Solution

The fourth proportional to 508.17, 762.11 and 199.97 is: 299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.17 : 762.11 = 199.97 : x
  2. Step 2: Convert to fraction form
    508.17/762.11 = 199.97/x
  3. Step 3: Cross multiply
    508.17x = 762.11 × 199.97
  4. Step 4: Simplify right side
    508.17x = 152,399.14
  5. Step 5: Solve for x
    x = 152,399.14/508.17
  6. Step 6: Final answer
    x = 299.90

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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.