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Finding the Fourth Proportional to 311.14, 429.72 and 207.46

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Solution

The fourth proportional to 311.14, 429.72 and 207.46 is: 286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.14 : 429.72 = 207.46 : x
  2. Step 2: Convert to fraction form
    311.14/429.72 = 207.46/x
  3. Step 3: Cross multiply
    311.14x = 429.72 × 207.46
  4. Step 4: Simplify right side
    311.14x = 89,149.71
  5. Step 5: Solve for x
    x = 89,149.71/311.14
  6. Step 6: Final answer
    x = 286.53

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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.