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Finding the Fourth Proportional to 60.85, 84.01 and 42.42

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Solution

The fourth proportional to 60.85, 84.01 and 42.42 is: 58.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.85 : 84.01 = 42.42 : x
  2. Step 2: Convert to fraction form
    60.85/84.01 = 42.42/x
  3. Step 3: Cross multiply
    60.85x = 84.01 × 42.42
  4. Step 4: Simplify right side
    60.85x = 3,563.70
  5. Step 5: Solve for x
    x = 3,563.70/60.85
  6. Step 6: Final answer
    x = 58.57

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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.