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Finding the Fourth Proportional to 41.78, 57.63 and 25.40

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Solution

The fourth proportional to 41.78, 57.63 and 25.40 is: 35.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.78 : 57.63 = 25.40 : x
  2. Step 2: Convert to fraction form
    41.78/57.63 = 25.40/x
  3. Step 3: Cross multiply
    41.78x = 57.63 × 25.40
  4. Step 4: Simplify right side
    41.78x = 1,463.80
  5. Step 5: Solve for x
    x = 1,463.80/41.78
  6. Step 6: Final answer
    x = 35.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.