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Finding the Fourth Proportional to 161.88, 243.79 and 141.83

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Solution

The fourth proportional to 161.88, 243.79 and 141.83 is: 213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.88 : 243.79 = 141.83 : x
  2. Step 2: Convert to fraction form
    161.88/243.79 = 141.83/x
  3. Step 3: Cross multiply
    161.88x = 243.79 × 141.83
  4. Step 4: Simplify right side
    161.88x = 34,576.99
  5. Step 5: Solve for x
    x = 34,576.99/161.88
  6. Step 6: Final answer
    x = 213.60

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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.