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Finding the Fourth Proportional to 229.80, 319.24 and 227.66

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Solution

The fourth proportional to 229.80, 319.24 and 227.66 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.80 : 319.24 = 227.66 : x
  2. Step 2: Convert to fraction form
    229.80/319.24 = 227.66/x
  3. Step 3: Cross multiply
    229.80x = 319.24 × 227.66
  4. Step 4: Simplify right side
    229.80x = 72,678.18
  5. Step 5: Solve for x
    x = 72,678.18/229.80
  6. Step 6: Final answer
    x = 316.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.