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Finding the Fourth Proportional to 109.44, 150.82 and 97.14

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Solution

The fourth proportional to 109.44, 150.82 and 97.14 is: 133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 150.82 = 97.14 : x
  2. Step 2: Convert to fraction form
    109.44/150.82 = 97.14/x
  3. Step 3: Cross multiply
    109.44x = 150.82 × 97.14
  4. Step 4: Simplify right side
    109.44x = 14,650.65
  5. Step 5: Solve for x
    x = 14,650.65/109.44
  6. Step 6: Final answer
    x = 133.87

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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.