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Finding the Fourth Proportional to 322.76, 481.54 and 307.27

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Solution

The fourth proportional to 322.76, 481.54 and 307.27 is: 458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.76 : 481.54 = 307.27 : x
  2. Step 2: Convert to fraction form
    322.76/481.54 = 307.27/x
  3. Step 3: Cross multiply
    322.76x = 481.54 × 307.27
  4. Step 4: Simplify right side
    322.76x = 147,962.80
  5. Step 5: Solve for x
    x = 147,962.80/322.76
  6. Step 6: Final answer
    x = 458.43

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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.