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Finding the Fourth Proportional to 508.85, 763.20 and 245.15

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Solution

The fourth proportional to 508.85, 763.20 and 245.15 is: 367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.85 : 763.20 = 245.15 : x
  2. Step 2: Convert to fraction form
    508.85/763.20 = 245.15/x
  3. Step 3: Cross multiply
    508.85x = 763.20 × 245.15
  4. Step 4: Simplify right side
    508.85x = 187,098.48
  5. Step 5: Solve for x
    x = 187,098.48/508.85
  6. Step 6: Final answer
    x = 367.69

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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.