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Finding the Fourth Proportional to 61.28, 84.54 and 42.86

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Solution

The fourth proportional to 61.28, 84.54 and 42.86 is: 59.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.28 : 84.54 = 42.86 : x
  2. Step 2: Convert to fraction form
    61.28/84.54 = 42.86/x
  3. Step 3: Cross multiply
    61.28x = 84.54 × 42.86
  4. Step 4: Simplify right side
    61.28x = 3,622.96
  5. Step 5: Solve for x
    x = 3,622.96/61.28
  6. Step 6: Final answer
    x = 59.12

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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.