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Finding the Fourth Proportional to 224.67, 338.73 and 209.01

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Solution

The fourth proportional to 224.67, 338.73 and 209.01 is: 315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.67 : 338.73 = 209.01 : x
  2. Step 2: Convert to fraction form
    224.67/338.73 = 209.01/x
  3. Step 3: Cross multiply
    224.67x = 338.73 × 209.01
  4. Step 4: Simplify right side
    224.67x = 70,797.96
  5. Step 5: Solve for x
    x = 70,797.96/224.67
  6. Step 6: Final answer
    x = 315.12

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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.