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Finding the Fourth Proportional to 224.67, 335.59 and 209.18

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Solution

The fourth proportional to 224.67, 335.59 and 209.18 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.67 : 335.59 = 209.18 : x
  2. Step 2: Convert to fraction form
    224.67/335.59 = 209.18/x
  3. Step 3: Cross multiply
    224.67x = 335.59 × 209.18
  4. Step 4: Simplify right side
    224.67x = 70,200.21
  5. Step 5: Solve for x
    x = 70,200.21/224.67
  6. Step 6: Final answer
    x = 312.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.