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Finding the Fourth Proportional to 40.10, 54.62 and 39.92

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Solution

The fourth proportional to 40.10, 54.62 and 39.92 is: 54.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.10 : 54.62 = 39.92 : x
  2. Step 2: Convert to fraction form
    40.10/54.62 = 39.92/x
  3. Step 3: Cross multiply
    40.10x = 54.62 × 39.92
  4. Step 4: Simplify right side
    40.10x = 2,180.43
  5. Step 5: Solve for x
    x = 2,180.43/40.10
  6. Step 6: Final answer
    x = 54.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.