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Finding the Fourth Proportional to 29.91, 44.85 and 9.61

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Solution

The fourth proportional to 29.91, 44.85 and 9.61 is: 14.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.91 : 44.85 = 9.61 : x
  2. Step 2: Convert to fraction form
    29.91/44.85 = 9.61/x
  3. Step 3: Cross multiply
    29.91x = 44.85 × 9.61
  4. Step 4: Simplify right side
    29.91x = 430.96
  5. Step 5: Solve for x
    x = 430.96/29.91
  6. Step 6: Final answer
    x = 14.41

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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.