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Finding the Fourth Proportional to 41.76, 57.55 and 39.84

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Solution

The fourth proportional to 41.76, 57.55 and 39.84 is: 54.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.76 : 57.55 = 39.84 : x
  2. Step 2: Convert to fraction form
    41.76/57.55 = 39.84/x
  3. Step 3: Cross multiply
    41.76x = 57.55 × 39.84
  4. Step 4: Simplify right side
    41.76x = 2,292.50
  5. Step 5: Solve for x
    x = 2,292.50/41.76
  6. Step 6: Final answer
    x = 54.90

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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.