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Finding the Fourth Proportional to 60.92, 84.46 and 57.83

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Solution

The fourth proportional to 60.92, 84.46 and 57.83 is: 80.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.92 : 84.46 = 57.83 : x
  2. Step 2: Convert to fraction form
    60.92/84.46 = 57.83/x
  3. Step 3: Cross multiply
    60.92x = 84.46 × 57.83
  4. Step 4: Simplify right side
    60.92x = 4,884.39
  5. Step 5: Solve for x
    x = 4,884.39/60.92
  6. Step 6: Final answer
    x = 80.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.