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Finding the Fourth Proportional to 224.29, 309.72 and 154.43

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Solution

The fourth proportional to 224.29, 309.72 and 154.43 is: 213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.29 : 309.72 = 154.43 : x
  2. Step 2: Convert to fraction form
    224.29/309.72 = 154.43/x
  3. Step 3: Cross multiply
    224.29x = 309.72 × 154.43
  4. Step 4: Simplify right side
    224.29x = 47,830.06
  5. Step 5: Solve for x
    x = 47,830.06/224.29
  6. Step 6: Final answer
    x = 213.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.