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Finding the Fourth Proportional to 311.52, 464.94 and 270.24

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Solution

The fourth proportional to 311.52, 464.94 and 270.24 is: 403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.52 : 464.94 = 270.24 : x
  2. Step 2: Convert to fraction form
    311.52/464.94 = 270.24/x
  3. Step 3: Cross multiply
    311.52x = 464.94 × 270.24
  4. Step 4: Simplify right side
    311.52x = 125,645.39
  5. Step 5: Solve for x
    x = 125,645.39/311.52
  6. Step 6: Final answer
    x = 403.33

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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.