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Finding the Fourth Proportional to 41.31, 61.63 and 40.05

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Solution

The fourth proportional to 41.31, 61.63 and 40.05 is: 59.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.31 : 61.63 = 40.05 : x
  2. Step 2: Convert to fraction form
    41.31/61.63 = 40.05/x
  3. Step 3: Cross multiply
    41.31x = 61.63 × 40.05
  4. Step 4: Simplify right side
    41.31x = 2,468.28
  5. Step 5: Solve for x
    x = 2,468.28/41.31
  6. Step 6: Final answer
    x = 59.75

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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.