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Finding the Fourth Proportional to 60.68, 84.11 and 59.70

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Solution

The fourth proportional to 60.68, 84.11 and 59.70 is: 82.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.68 : 84.11 = 59.70 : x
  2. Step 2: Convert to fraction form
    60.68/84.11 = 59.70/x
  3. Step 3: Cross multiply
    60.68x = 84.11 × 59.70
  4. Step 4: Simplify right side
    60.68x = 5,021.07
  5. Step 5: Solve for x
    x = 5,021.07/60.68
  6. Step 6: Final answer
    x = 82.75

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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.