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Finding the Fourth Proportional to 502.76, 752.52 and 258.95

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Solution

The fourth proportional to 502.76, 752.52 and 258.95 is: 387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.76 : 752.52 = 258.95 : x
  2. Step 2: Convert to fraction form
    502.76/752.52 = 258.95/x
  3. Step 3: Cross multiply
    502.76x = 752.52 × 258.95
  4. Step 4: Simplify right side
    502.76x = 194,867.91
  5. Step 5: Solve for x
    x = 194,867.91/502.76
  6. Step 6: Final answer
    x = 387.59

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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.