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Finding the Fourth Proportional to 311.36, 429.64 and 194.88

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Solution

The fourth proportional to 311.36, 429.64 and 194.88 is: 268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.36 : 429.64 = 194.88 : x
  2. Step 2: Convert to fraction form
    311.36/429.64 = 194.88/x
  3. Step 3: Cross multiply
    311.36x = 429.64 × 194.88
  4. Step 4: Simplify right side
    311.36x = 83,728.24
  5. Step 5: Solve for x
    x = 83,728.24/311.36
  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.