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Finding the Fourth Proportional to 229.79, 319.23 and 227.65

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Solution

The fourth proportional to 229.79, 319.23 and 227.65 is: 316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.79 : 319.23 = 227.65 : x
  2. Step 2: Convert to fraction form
    229.79/319.23 = 227.65/x
  3. Step 3: Cross multiply
    229.79x = 319.23 × 227.65
  4. Step 4: Simplify right side
    229.79x = 72,672.71
  5. Step 5: Solve for x
    x = 72,672.71/229.79
  6. Step 6: Final answer
    x = 316.26

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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.