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Finding the Fourth Proportional to 233.55, 321.98 and 194.27

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Solution

The fourth proportional to 233.55, 321.98 and 194.27 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.55 : 321.98 = 194.27 : x
  2. Step 2: Convert to fraction form
    233.55/321.98 = 194.27/x
  3. Step 3: Cross multiply
    233.55x = 321.98 × 194.27
  4. Step 4: Simplify right side
    233.55x = 62,548.47
  5. Step 5: Solve for x
    x = 62,548.47/233.55
  6. Step 6: Final answer
    x = 267.82

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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.