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Finding the Fourth Proportional to 41.50, 57.02 and 38.83

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Solution

The fourth proportional to 41.50, 57.02 and 38.83 is: 53.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.50 : 57.02 = 38.83 : x
  2. Step 2: Convert to fraction form
    41.50/57.02 = 38.83/x
  3. Step 3: Cross multiply
    41.50x = 57.02 × 38.83
  4. Step 4: Simplify right side
    41.50x = 2,214.09
  5. Step 5: Solve for x
    x = 2,214.09/41.50
  6. Step 6: Final answer
    x = 53.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.