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Finding the Fourth Proportional to 311.74, 429.45 and 218.31

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Solution

The fourth proportional to 311.74, 429.45 and 218.31 is: 300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.74 : 429.45 = 218.31 : x
  2. Step 2: Convert to fraction form
    311.74/429.45 = 218.31/x
  3. Step 3: Cross multiply
    311.74x = 429.45 × 218.31
  4. Step 4: Simplify right side
    311.74x = 93,751.08
  5. Step 5: Solve for x
    x = 93,751.08/311.74
  6. Step 6: Final answer
    x = 300.74

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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.