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Finding the Fourth Proportional to 311.39, 464.28 and 305.92

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Solution

The fourth proportional to 311.39, 464.28 and 305.92 is: 456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.39 : 464.28 = 305.92 : x
  2. Step 2: Convert to fraction form
    311.39/464.28 = 305.92/x
  3. Step 3: Cross multiply
    311.39x = 464.28 × 305.92
  4. Step 4: Simplify right side
    311.39x = 142,032.54
  5. Step 5: Solve for x
    x = 142,032.54/311.39
  6. Step 6: Final answer
    x = 456.12

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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.