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Finding the Fourth Proportional to 311.58, 425.62 and 309.56

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Solution

The fourth proportional to 311.58, 425.62 and 309.56 is: 422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.58 : 425.62 = 309.56 : x
  2. Step 2: Convert to fraction form
    311.58/425.62 = 309.56/x
  3. Step 3: Cross multiply
    311.58x = 425.62 × 309.56
  4. Step 4: Simplify right side
    311.58x = 131,753.19
  5. Step 5: Solve for x
    x = 131,753.19/311.58
  6. Step 6: Final answer
    x = 422.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.