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Finding the Fourth Proportional to 41.99, 62.91 and 26.78

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Solution

The fourth proportional to 41.99, 62.91 and 26.78 is: 40.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.99 : 62.91 = 26.78 : x
  2. Step 2: Convert to fraction form
    41.99/62.91 = 26.78/x
  3. Step 3: Cross multiply
    41.99x = 62.91 × 26.78
  4. Step 4: Simplify right side
    41.99x = 1,684.42
  5. Step 5: Solve for x
    x = 1,684.42/41.99
  6. Step 6: Final answer
    x = 40.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.