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Finding the Fourth Proportional to 224.43, 309.87 and 162.39

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Solution

The fourth proportional to 224.43, 309.87 and 162.39 is: 224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.43 : 309.87 = 162.39 : x
  2. Step 2: Convert to fraction form
    224.43/309.87 = 162.39/x
  3. Step 3: Cross multiply
    224.43x = 309.87 × 162.39
  4. Step 4: Simplify right side
    224.43x = 50,319.79
  5. Step 5: Solve for x
    x = 50,319.79/224.43
  6. Step 6: Final answer
    x = 224.21

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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.