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Finding the Fourth Proportional to 94.93, 142.35 and 29.91

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Solution

The fourth proportional to 94.93, 142.35 and 29.91 is: 44.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.93 : 142.35 = 29.91 : x
  2. Step 2: Convert to fraction form
    94.93/142.35 = 29.91/x
  3. Step 3: Cross multiply
    94.93x = 142.35 × 29.91
  4. Step 4: Simplify right side
    94.93x = 4,257.69
  5. Step 5: Solve for x
    x = 4,257.69/94.93
  6. Step 6: Final answer
    x = 44.85

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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.