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Finding the Fourth Proportional to 311.09, 463.31 and 307.44

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Solution

The fourth proportional to 311.09, 463.31 and 307.44 is: 457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.09 : 463.31 = 307.44 : x
  2. Step 2: Convert to fraction form
    311.09/463.31 = 307.44/x
  3. Step 3: Cross multiply
    311.09x = 463.31 × 307.44
  4. Step 4: Simplify right side
    311.09x = 142,438.49
  5. Step 5: Solve for x
    x = 142,438.49/311.09
  6. Step 6: Final answer
    x = 457.88

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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.