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Finding the Fourth Proportional to 229.92, 345.12 and 157.92

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Solution

The fourth proportional to 229.92, 345.12 and 157.92 is: 237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 345.12 = 157.92 : x
  2. Step 2: Convert to fraction form
    229.92/345.12 = 157.92/x
  3. Step 3: Cross multiply
    229.92x = 345.12 × 157.92
  4. Step 4: Simplify right side
    229.92x = 54,501.35
  5. Step 5: Solve for x
    x = 54,501.35/229.92
  6. Step 6: Final answer
    x = 237.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.