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Finding the Fourth Proportional to 119.26, 178.61 and 97.44

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Solution

The fourth proportional to 119.26, 178.61 and 97.44 is: 145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.26 : 178.61 = 97.44 : x
  2. Step 2: Convert to fraction form
    119.26/178.61 = 97.44/x
  3. Step 3: Cross multiply
    119.26x = 178.61 × 97.44
  4. Step 4: Simplify right side
    119.26x = 17,404.11
  5. Step 5: Solve for x
    x = 17,404.11/119.26
  6. Step 6: Final answer
    x = 145.93

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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.