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Finding the Fourth Proportional to 90.82, 136.24 and 29.95

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Solution

The fourth proportional to 90.82, 136.24 and 29.95 is: 44.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.82 : 136.24 = 29.95 : x
  2. Step 2: Convert to fraction form
    90.82/136.24 = 29.95/x
  3. Step 3: Cross multiply
    90.82x = 136.24 × 29.95
  4. Step 4: Simplify right side
    90.82x = 4,080.56
  5. Step 5: Solve for x
    x = 4,080.56/90.82
  6. Step 6: Final answer
    x = 44.93

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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.