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Finding the Fourth Proportional to 60.48, 83.52 and 59.85

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Solution

The fourth proportional to 60.48, 83.52 and 59.85 is: 82.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.48 : 83.52 = 59.85 : x
  2. Step 2: Convert to fraction form
    60.48/83.52 = 59.85/x
  3. Step 3: Cross multiply
    60.48x = 83.52 × 59.85
  4. Step 4: Simplify right side
    60.48x = 4,998.67
  5. Step 5: Solve for x
    x = 4,998.67/60.48
  6. Step 6: Final answer
    x = 82.65

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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.