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Finding the Fourth Proportional to 229.95, 319.46 and 227.70

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Solution

The fourth proportional to 229.95, 319.46 and 227.70 is: 316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.95 : 319.46 = 227.70 : x
  2. Step 2: Convert to fraction form
    229.95/319.46 = 227.70/x
  3. Step 3: Cross multiply
    229.95x = 319.46 × 227.70
  4. Step 4: Simplify right side
    229.95x = 72,739.90
  5. Step 5: Solve for x
    x = 72,739.90/229.95
  6. Step 6: Final answer
    x = 316.33

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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.