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Finding the Fourth Proportional to 42.14, 62.78 and 40.90

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Solution

The fourth proportional to 42.14, 62.78 and 40.90 is: 60.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.14 : 62.78 = 40.90 : x
  2. Step 2: Convert to fraction form
    42.14/62.78 = 40.90/x
  3. Step 3: Cross multiply
    42.14x = 62.78 × 40.90
  4. Step 4: Simplify right side
    42.14x = 2,567.70
  5. Step 5: Solve for x
    x = 2,567.70/42.14
  6. Step 6: Final answer
    x = 60.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.