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Finding the Fourth Proportional to 311.32, 425.81 and 306.28

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Solution

The fourth proportional to 311.32, 425.81 and 306.28 is: 418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.32 : 425.81 = 306.28 : x
  2. Step 2: Convert to fraction form
    311.32/425.81 = 306.28/x
  3. Step 3: Cross multiply
    311.32x = 425.81 × 306.28
  4. Step 4: Simplify right side
    311.32x = 130,417.09
  5. Step 5: Solve for x
    x = 130,417.09/311.32
  6. Step 6: Final answer
    x = 418.92

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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.