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Finding the Fourth Proportional to 41.58, 56.97 and 40.02

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Solution

The fourth proportional to 41.58, 56.97 and 40.02 is: 54.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.58 : 56.97 = 40.02 : x
  2. Step 2: Convert to fraction form
    41.58/56.97 = 40.02/x
  3. Step 3: Cross multiply
    41.58x = 56.97 × 40.02
  4. Step 4: Simplify right side
    41.58x = 2,279.86
  5. Step 5: Solve for x
    x = 2,279.86/41.58
  6. Step 6: Final answer
    x = 54.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.