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Finding the Fourth Proportional to 502.46, 753.08 and 258.85

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Solution

The fourth proportional to 502.46, 753.08 and 258.85 is: 387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.46 : 753.08 = 258.85 : x
  2. Step 2: Convert to fraction form
    502.46/753.08 = 258.85/x
  3. Step 3: Cross multiply
    502.46x = 753.08 × 258.85
  4. Step 4: Simplify right side
    502.46x = 194,934.43
  5. Step 5: Solve for x
    x = 194,934.43/502.46
  6. Step 6: Final answer
    x = 387.96

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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.