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Finding the Fourth Proportional to 61.18, 84.38 and 40.44

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Solution

The fourth proportional to 61.18, 84.38 and 40.44 is: 55.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.18 : 84.38 = 40.44 : x
  2. Step 2: Convert to fraction form
    61.18/84.38 = 40.44/x
  3. Step 3: Cross multiply
    61.18x = 84.38 × 40.44
  4. Step 4: Simplify right side
    61.18x = 3,412.33
  5. Step 5: Solve for x
    x = 3,412.33/61.18
  6. Step 6: Final answer
    x = 55.78

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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.