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Finding the Fourth Proportional to 41.42, 57.10 and 30.91

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Solution

The fourth proportional to 41.42, 57.10 and 30.91 is: 42.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.42 : 57.10 = 30.91 : x
  2. Step 2: Convert to fraction form
    41.42/57.10 = 30.91/x
  3. Step 3: Cross multiply
    41.42x = 57.10 × 30.91
  4. Step 4: Simplify right side
    41.42x = 1,764.98
  5. Step 5: Solve for x
    x = 1,764.98/41.42
  6. Step 6: Final answer
    x = 42.61

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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.