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Finding the Fourth Proportional to 224.71, 334.67 and 209.68

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Solution

The fourth proportional to 224.71, 334.67 and 209.68 is: 312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.71 : 334.67 = 209.68 : x
  2. Step 2: Convert to fraction form
    224.71/334.67 = 209.68/x
  3. Step 3: Cross multiply
    224.71x = 334.67 × 209.68
  4. Step 4: Simplify right side
    224.71x = 70,173.61
  5. Step 5: Solve for x
    x = 70,173.61/224.71
  6. Step 6: Final answer
    x = 312.29

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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.