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Finding the Fourth Proportional to 311.32, 431.23 and 304.84

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Solution

The fourth proportional to 311.32, 431.23 and 304.84 is: 422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.32 : 431.23 = 304.84 : x
  2. Step 2: Convert to fraction form
    311.32/431.23 = 304.84/x
  3. Step 3: Cross multiply
    311.32x = 431.23 × 304.84
  4. Step 4: Simplify right side
    311.32x = 131,456.15
  5. Step 5: Solve for x
    x = 131,456.15/311.32
  6. Step 6: Final answer
    x = 422.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.