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Finding the Fourth Proportional to 230.80, 320.92 and 229.36

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Solution

The fourth proportional to 230.80, 320.92 and 229.36 is: 318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.80 : 320.92 = 229.36 : x
  2. Step 2: Convert to fraction form
    230.80/320.92 = 229.36/x
  3. Step 3: Cross multiply
    230.80x = 320.92 × 229.36
  4. Step 4: Simplify right side
    230.80x = 73,606.21
  5. Step 5: Solve for x
    x = 73,606.21/230.80
  6. Step 6: Final answer
    x = 318.92

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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.