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Finding the Fourth Proportional to 311.27, 463.97 and 307.62

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Solution

The fourth proportional to 311.27, 463.97 and 307.62 is: 458.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.27 : 463.97 = 307.62 : x
  2. Step 2: Convert to fraction form
    311.27/463.97 = 307.62/x
  3. Step 3: Cross multiply
    311.27x = 463.97 × 307.62
  4. Step 4: Simplify right side
    311.27x = 142,727.22
  5. Step 5: Solve for x
    x = 142,727.22/311.27
  6. Step 6: Final answer
    x = 458.54

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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.