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Finding the Fourth Proportional to 161.61, 242.49 and 80.51

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Solution

The fourth proportional to 161.61, 242.49 and 80.51 is: 120.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.61 : 242.49 = 80.51 : x
  2. Step 2: Convert to fraction form
    161.61/242.49 = 80.51/x
  3. Step 3: Cross multiply
    161.61x = 242.49 × 80.51
  4. Step 4: Simplify right side
    161.61x = 19,521.66
  5. Step 5: Solve for x
    x = 19,521.66/161.61
  6. Step 6: Final answer
    x = 120.79

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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.