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Finding the Fourth Proportional to 41.81, 58.03 and 40.19

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Solution

The fourth proportional to 41.81, 58.03 and 40.19 is: 55.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.81 : 58.03 = 40.19 : x
  2. Step 2: Convert to fraction form
    41.81/58.03 = 40.19/x
  3. Step 3: Cross multiply
    41.81x = 58.03 × 40.19
  4. Step 4: Simplify right side
    41.81x = 2,331.84
  5. Step 5: Solve for x
    x = 2,331.84/41.81
  6. Step 6: Final answer
    x = 55.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.