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Finding the Fourth Proportional to 311.87, 465.17 and 265.70

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Solution

The fourth proportional to 311.87, 465.17 and 265.70 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.87 : 465.17 = 265.70 : x
  2. Step 2: Convert to fraction form
    311.87/465.17 = 265.70/x
  3. Step 3: Cross multiply
    311.87x = 465.17 × 265.70
  4. Step 4: Simplify right side
    311.87x = 123,595.67
  5. Step 5: Solve for x
    x = 123,595.67/311.87
  6. Step 6: Final answer
    x = 396.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.