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Finding the Fourth Proportional to 161.43, 242.15 and 39.69

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Solution

The fourth proportional to 161.43, 242.15 and 39.69 is: 59.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.43 : 242.15 = 39.69 : x
  2. Step 2: Convert to fraction form
    161.43/242.15 = 39.69/x
  3. Step 3: Cross multiply
    161.43x = 242.15 × 39.69
  4. Step 4: Simplify right side
    161.43x = 9,610.93
  5. Step 5: Solve for x
    x = 9,610.93/161.43
  6. Step 6: Final answer
    x = 59.54

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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.