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Finding the Fourth Proportional to 161.31, 242.12 and 89.22

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Solution

The fourth proportional to 161.31, 242.12 and 89.22 is: 133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.31 : 242.12 = 89.22 : x
  2. Step 2: Convert to fraction form
    161.31/242.12 = 89.22/x
  3. Step 3: Cross multiply
    161.31x = 242.12 × 89.22
  4. Step 4: Simplify right side
    161.31x = 21,601.50
  5. Step 5: Solve for x
    x = 21,601.50/161.31
  6. Step 6: Final answer
    x = 133.91

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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.