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Finding the Fourth Proportional to 44.86, 67.20 and 29.61

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Solution

The fourth proportional to 44.86, 67.20 and 29.61 is: 44.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.86 : 67.20 = 29.61 : x
  2. Step 2: Convert to fraction form
    44.86/67.20 = 29.61/x
  3. Step 3: Cross multiply
    44.86x = 67.20 × 29.61
  4. Step 4: Simplify right side
    44.86x = 1,989.46
  5. Step 5: Solve for x
    x = 1,989.46/44.86
  6. Step 6: Final answer
    x = 44.35

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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.