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Finding the Fourth Proportional to 41.47, 57.51 and 40.35

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Solution

The fourth proportional to 41.47, 57.51 and 40.35 is: 55.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.47 : 57.51 = 40.35 : x
  2. Step 2: Convert to fraction form
    41.47/57.51 = 40.35/x
  3. Step 3: Cross multiply
    41.47x = 57.51 × 40.35
  4. Step 4: Simplify right side
    41.47x = 2,320.53
  5. Step 5: Solve for x
    x = 2,320.53/41.47
  6. Step 6: Final answer
    x = 55.96

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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.