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Finding the Fourth Proportional to 59.52, 82.19 and 38.84

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Solution

The fourth proportional to 59.52, 82.19 and 38.84 is: 53.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.52 : 82.19 = 38.84 : x
  2. Step 2: Convert to fraction form
    59.52/82.19 = 38.84/x
  3. Step 3: Cross multiply
    59.52x = 82.19 × 38.84
  4. Step 4: Simplify right side
    59.52x = 3,191.95
  5. Step 5: Solve for x
    x = 3,191.95/59.52
  6. Step 6: Final answer
    x = 53.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.