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Finding the Fourth Proportional to 508.13, 762.19 and 123.38

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Solution

The fourth proportional to 508.13, 762.19 and 123.38 is: 185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.13 : 762.19 = 123.38 : x
  2. Step 2: Convert to fraction form
    508.13/762.19 = 123.38/x
  3. Step 3: Cross multiply
    508.13x = 762.19 × 123.38
  4. Step 4: Simplify right side
    508.13x = 94,034.88
  5. Step 5: Solve for x
    x = 94,034.88/508.13
  6. Step 6: Final answer
    x = 185.06

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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.