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Finding the Fourth Proportional to 232.52, 320.15 and 197.48

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Solution

The fourth proportional to 232.52, 320.15 and 197.48 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.52 : 320.15 = 197.48 : x
  2. Step 2: Convert to fraction form
    232.52/320.15 = 197.48/x
  3. Step 3: Cross multiply
    232.52x = 320.15 × 197.48
  4. Step 4: Simplify right side
    232.52x = 63,224.52
  5. Step 5: Solve for x
    x = 63,224.52/232.52
  6. Step 6: Final answer
    x = 271.91

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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.