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Finding the Fourth Proportional to 41.78, 57.64 and 31.46

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Solution

The fourth proportional to 41.78, 57.64 and 31.46 is: 43.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.78 : 57.64 = 31.46 : x
  2. Step 2: Convert to fraction form
    41.78/57.64 = 31.46/x
  3. Step 3: Cross multiply
    41.78x = 57.64 × 31.46
  4. Step 4: Simplify right side
    41.78x = 1,813.35
  5. Step 5: Solve for x
    x = 1,813.35/41.78
  6. Step 6: Final answer
    x = 43.40

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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.