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Finding the Fourth Proportional to 161.80, 243.61 and 142.66

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Solution

The fourth proportional to 161.80, 243.61 and 142.66 is: 214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.80 : 243.61 = 142.66 : x
  2. Step 2: Convert to fraction form
    161.80/243.61 = 142.66/x
  3. Step 3: Cross multiply
    161.80x = 243.61 × 142.66
  4. Step 4: Simplify right side
    161.80x = 34,752.44
  5. Step 5: Solve for x
    x = 34,752.44/161.80
  6. Step 6: Final answer
    x = 214.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.