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Finding the Fourth Proportional to 229.92, 315.32 and 225.96

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Solution

The fourth proportional to 229.92, 315.32 and 225.96 is: 309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 315.32 = 225.96 : x
  2. Step 2: Convert to fraction form
    229.92/315.32 = 225.96/x
  3. Step 3: Cross multiply
    229.92x = 315.32 × 225.96
  4. Step 4: Simplify right side
    229.92x = 71,249.71
  5. Step 5: Solve for x
    x = 71,249.71/229.92
  6. Step 6: Final answer
    x = 309.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.