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Finding the Fourth Proportional to 311.24, 429.56 and 194.84

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Solution

The fourth proportional to 311.24, 429.56 and 194.84 is: 268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 429.56 = 194.84 : x
  2. Step 2: Convert to fraction form
    311.24/429.56 = 194.84/x
  3. Step 3: Cross multiply
    311.24x = 429.56 × 194.84
  4. Step 4: Simplify right side
    311.24x = 83,695.47
  5. Step 5: Solve for x
    x = 83,695.47/311.24
  6. Step 6: Final answer
    x = 268.91

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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.