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Finding the Fourth Proportional to 209.52, 315.52 and 161.12

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Solution

The fourth proportional to 209.52, 315.52 and 161.12 is: 242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.52 : 315.52 = 161.12 : x
  2. Step 2: Convert to fraction form
    209.52/315.52 = 161.12/x
  3. Step 3: Cross multiply
    209.52x = 315.52 × 161.12
  4. Step 4: Simplify right side
    209.52x = 50,836.58
  5. Step 5: Solve for x
    x = 50,836.58/209.52
  6. Step 6: Final answer
    x = 242.63

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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.