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Finding the Fourth Proportional to 229.68, 315.06 and 224.88

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Solution

The fourth proportional to 229.68, 315.06 and 224.88 is: 308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.68 : 315.06 = 224.88 : x
  2. Step 2: Convert to fraction form
    229.68/315.06 = 224.88/x
  3. Step 3: Cross multiply
    229.68x = 315.06 × 224.88
  4. Step 4: Simplify right side
    229.68x = 70,850.69
  5. Step 5: Solve for x
    x = 70,850.69/229.68
  6. Step 6: Final answer
    x = 308.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.