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Finding the Fourth Proportional to 62.18, 85.86 and 42.82

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Solution

The fourth proportional to 62.18, 85.86 and 42.82 is: 59.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.18 : 85.86 = 42.82 : x
  2. Step 2: Convert to fraction form
    62.18/85.86 = 42.82/x
  3. Step 3: Cross multiply
    62.18x = 85.86 × 42.82
  4. Step 4: Simplify right side
    62.18x = 3,676.53
  5. Step 5: Solve for x
    x = 3,676.53/62.18
  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.