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Finding the Fourth Proportional to 509.17, 763.31 and 249.03

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Solution

The fourth proportional to 509.17, 763.31 and 249.03 is: 373.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.17 : 763.31 = 249.03 : x
  2. Step 2: Convert to fraction form
    509.17/763.31 = 249.03/x
  3. Step 3: Cross multiply
    509.17x = 763.31 × 249.03
  4. Step 4: Simplify right side
    509.17x = 190,082.03
  5. Step 5: Solve for x
    x = 190,082.03/509.17
  6. Step 6: Final answer
    x = 373.32

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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.