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Finding the Fourth Proportional to 233.84, 321.33 and 194.96

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Solution

The fourth proportional to 233.84, 321.33 and 194.96 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 321.33 = 194.96 : x
  2. Step 2: Convert to fraction form
    233.84/321.33 = 194.96/x
  3. Step 3: Cross multiply
    233.84x = 321.33 × 194.96
  4. Step 4: Simplify right side
    233.84x = 62,644.89
  5. Step 5: Solve for x
    x = 62,644.89/233.84
  6. Step 6: Final answer
    x = 267.90

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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.