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Finding the Fourth Proportional to 224.05, 337.75 and 209.18

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Solution

The fourth proportional to 224.05, 337.75 and 209.18 is: 315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.05 : 337.75 = 209.18 : x
  2. Step 2: Convert to fraction form
    224.05/337.75 = 209.18/x
  3. Step 3: Cross multiply
    224.05x = 337.75 × 209.18
  4. Step 4: Simplify right side
    224.05x = 70,650.55
  5. Step 5: Solve for x
    x = 70,650.55/224.05
  6. Step 6: Final answer
    x = 315.33

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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.