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Finding the Fourth Proportional to 42.28, 63.74 and 40.15

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Solution

The fourth proportional to 42.28, 63.74 and 40.15 is: 60.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.28 : 63.74 = 40.15 : x
  2. Step 2: Convert to fraction form
    42.28/63.74 = 40.15/x
  3. Step 3: Cross multiply
    42.28x = 63.74 × 40.15
  4. Step 4: Simplify right side
    42.28x = 2,559.16
  5. Step 5: Solve for x
    x = 2,559.16/42.28
  6. Step 6: Final answer
    x = 60.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.