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Finding the Fourth Proportional to 41.60, 57.72 and 39.84

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Solution

The fourth proportional to 41.60, 57.72 and 39.84 is: 55.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.60 : 57.72 = 39.84 : x
  2. Step 2: Convert to fraction form
    41.60/57.72 = 39.84/x
  3. Step 3: Cross multiply
    41.60x = 57.72 × 39.84
  4. Step 4: Simplify right side
    41.60x = 2,299.56
  5. Step 5: Solve for x
    x = 2,299.56/41.60
  6. Step 6: Final answer
    x = 55.28

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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.