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Finding the Fourth Proportional to 41.29, 61.57 and 37.78

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Solution

The fourth proportional to 41.29, 61.57 and 37.78 is: 56.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.29 : 61.57 = 37.78 : x
  2. Step 2: Convert to fraction form
    41.29/61.57 = 37.78/x
  3. Step 3: Cross multiply
    41.29x = 61.57 × 37.78
  4. Step 4: Simplify right side
    41.29x = 2,325.81
  5. Step 5: Solve for x
    x = 2,325.81/41.29
  6. Step 6: Final answer
    x = 56.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.