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Finding the Fourth Proportional to 120.22, 180.34 and 97.29

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Solution

The fourth proportional to 120.22, 180.34 and 97.29 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.22 : 180.34 = 97.29 : x
  2. Step 2: Convert to fraction form
    120.22/180.34 = 97.29/x
  3. Step 3: Cross multiply
    120.22x = 180.34 × 97.29
  4. Step 4: Simplify right side
    120.22x = 17,545.04
  5. Step 5: Solve for x
    x = 17,545.04/120.22
  6. Step 6: Final answer
    x = 145.94

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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.