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Finding the Fourth Proportional to 61.32, 84.82 and 59.96

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Solution

The fourth proportional to 61.32, 84.82 and 59.96 is: 82.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.32 : 84.82 = 59.96 : x
  2. Step 2: Convert to fraction form
    61.32/84.82 = 59.96/x
  3. Step 3: Cross multiply
    61.32x = 84.82 × 59.96
  4. Step 4: Simplify right side
    61.32x = 5,085.81
  5. Step 5: Solve for x
    x = 5,085.81/61.32
  6. Step 6: Final answer
    x = 82.94

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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.