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Finding the Fourth Proportional to 229.13, 315.86 and 197.88

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Solution

The fourth proportional to 229.13, 315.86 and 197.88 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.13 : 315.86 = 197.88 : x
  2. Step 2: Convert to fraction form
    229.13/315.86 = 197.88/x
  3. Step 3: Cross multiply
    229.13x = 315.86 × 197.88
  4. Step 4: Simplify right side
    229.13x = 62,501.39
  5. Step 5: Solve for x
    x = 62,501.39/229.13
  6. Step 6: Final answer
    x = 272.78

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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.