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Finding the Fourth Proportional to 232.34, 319.28 and 193.46

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Solution

The fourth proportional to 232.34, 319.28 and 193.46 is: 265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 319.28 = 193.46 : x
  2. Step 2: Convert to fraction form
    232.34/319.28 = 193.46/x
  3. Step 3: Cross multiply
    232.34x = 319.28 × 193.46
  4. Step 4: Simplify right side
    232.34x = 61,765.35
  5. Step 5: Solve for x
    x = 61,765.35/232.34
  6. Step 6: Final answer
    x = 265.85

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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.