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Finding the Fourth Proportional to 224.32, 336.14 and 115.78

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Solution

The fourth proportional to 224.32, 336.14 and 115.78 is: 173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 336.14 = 115.78 : x
  2. Step 2: Convert to fraction form
    224.32/336.14 = 115.78/x
  3. Step 3: Cross multiply
    224.32x = 336.14 × 115.78
  4. Step 4: Simplify right side
    224.32x = 38,918.29
  5. Step 5: Solve for x
    x = 38,918.29/224.32
  6. Step 6: Final answer
    x = 173.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.