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Finding the Fourth Proportional to 41.17, 56.78 and 31.45

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Solution

The fourth proportional to 41.17, 56.78 and 31.45 is: 43.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.17 : 56.78 = 31.45 : x
  2. Step 2: Convert to fraction form
    41.17/56.78 = 31.45/x
  3. Step 3: Cross multiply
    41.17x = 56.78 × 31.45
  4. Step 4: Simplify right side
    41.17x = 1,785.57
  5. Step 5: Solve for x
    x = 1,785.57/41.17
  6. Step 6: Final answer
    x = 43.37

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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.