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Finding the Fourth Proportional to 41.01, 56.50 and 39.75

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Solution

The fourth proportional to 41.01, 56.50 and 39.75 is: 54.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.01 : 56.50 = 39.75 : x
  2. Step 2: Convert to fraction form
    41.01/56.50 = 39.75/x
  3. Step 3: Cross multiply
    41.01x = 56.50 × 39.75
  4. Step 4: Simplify right side
    41.01x = 2,245.96
  5. Step 5: Solve for x
    x = 2,245.96/41.01
  6. Step 6: Final answer
    x = 54.77

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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.