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Finding the Fourth Proportional to 232.61, 320.41 and 162.54

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Solution

The fourth proportional to 232.61, 320.41 and 162.54 is: 223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.61 : 320.41 = 162.54 : x
  2. Step 2: Convert to fraction form
    232.61/320.41 = 162.54/x
  3. Step 3: Cross multiply
    232.61x = 320.41 × 162.54
  4. Step 4: Simplify right side
    232.61x = 52,079.04
  5. Step 5: Solve for x
    x = 52,079.04/232.61
  6. Step 6: Final answer
    x = 223.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.