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Finding the Fourth Proportional to 213.47, 319.92 and 161.96

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Solution

The fourth proportional to 213.47, 319.92 and 161.96 is: 242.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.47 : 319.92 = 161.96 : x
  2. Step 2: Convert to fraction form
    213.47/319.92 = 161.96/x
  3. Step 3: Cross multiply
    213.47x = 319.92 × 161.96
  4. Step 4: Simplify right side
    213.47x = 51,812.64
  5. Step 5: Solve for x
    x = 51,812.64/213.47
  6. Step 6: Final answer
    x = 242.72

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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.