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Finding the Fourth Proportional to 41.34, 57.45 and 40.83

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Solution

The fourth proportional to 41.34, 57.45 and 40.83 is: 56.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.34 : 57.45 = 40.83 : x
  2. Step 2: Convert to fraction form
    41.34/57.45 = 40.83/x
  3. Step 3: Cross multiply
    41.34x = 57.45 × 40.83
  4. Step 4: Simplify right side
    41.34x = 2,345.48
  5. Step 5: Solve for x
    x = 2,345.48/41.34
  6. Step 6: Final answer
    x = 56.74

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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.