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Finding the Fourth Proportional to 41.39, 61.98 and 32.33

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Solution

The fourth proportional to 41.39, 61.98 and 32.33 is: 48.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.39 : 61.98 = 32.33 : x
  2. Step 2: Convert to fraction form
    41.39/61.98 = 32.33/x
  3. Step 3: Cross multiply
    41.39x = 61.98 × 32.33
  4. Step 4: Simplify right side
    41.39x = 2,003.81
  5. Step 5: Solve for x
    x = 2,003.81/41.39
  6. Step 6: Final answer
    x = 48.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.