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Finding the Fourth Proportional to 311.08, 465.80 and 269.76

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Solution

The fourth proportional to 311.08, 465.80 and 269.76 is: 403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.08 : 465.80 = 269.76 : x
  2. Step 2: Convert to fraction form
    311.08/465.80 = 269.76/x
  3. Step 3: Cross multiply
    311.08x = 465.80 × 269.76
  4. Step 4: Simplify right side
    311.08x = 125,654.21
  5. Step 5: Solve for x
    x = 125,654.21/311.08
  6. Step 6: Final answer
    x = 403.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.