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Finding the Fourth Proportional to 61.29, 84.60 and 42.84

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Solution

The fourth proportional to 61.29, 84.60 and 42.84 is: 59.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.29 : 84.60 = 42.84 : x
  2. Step 2: Convert to fraction form
    61.29/84.60 = 42.84/x
  3. Step 3: Cross multiply
    61.29x = 84.60 × 42.84
  4. Step 4: Simplify right side
    61.29x = 3,624.26
  5. Step 5: Solve for x
    x = 3,624.26/61.29
  6. Step 6: Final answer
    x = 59.13

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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.