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Finding the Fourth Proportional to 40.16, 59.96 and 38.78

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Solution

The fourth proportional to 40.16, 59.96 and 38.78 is: 57.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.16 : 59.96 = 38.78 : x
  2. Step 2: Convert to fraction form
    40.16/59.96 = 38.78/x
  3. Step 3: Cross multiply
    40.16x = 59.96 × 38.78
  4. Step 4: Simplify right side
    40.16x = 2,325.25
  5. Step 5: Solve for x
    x = 2,325.25/40.16
  6. Step 6: Final answer
    x = 57.90

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Why These Related Problems?

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