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Finding the Fourth Proportional to 49.22, 67.91 and 29.55

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Solution

The fourth proportional to 49.22, 67.91 and 29.55 is: 40.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.22 : 67.91 = 29.55 : x
  2. Step 2: Convert to fraction form
    49.22/67.91 = 29.55/x
  3. Step 3: Cross multiply
    49.22x = 67.91 × 29.55
  4. Step 4: Simplify right side
    49.22x = 2,006.74
  5. Step 5: Solve for x
    x = 2,006.74/49.22
  6. Step 6: Final answer
    x = 40.77

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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.