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Finding the Fourth Proportional to 323.36, 481.71 and 307.88

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Solution

The fourth proportional to 323.36, 481.71 and 307.88 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.36 : 481.71 = 307.88 : x
  2. Step 2: Convert to fraction form
    323.36/481.71 = 307.88/x
  3. Step 3: Cross multiply
    323.36x = 481.71 × 307.88
  4. Step 4: Simplify right side
    323.36x = 148,306.47
  5. Step 5: Solve for x
    x = 148,306.47/323.36
  6. Step 6: Final answer
    x = 458.65

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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.