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Finding the Fourth Proportional to 322.62, 481.52 and 312.54

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Solution

The fourth proportional to 322.62, 481.52 and 312.54 is: 466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.62 : 481.52 = 312.54 : x
  2. Step 2: Convert to fraction form
    322.62/481.52 = 312.54/x
  3. Step 3: Cross multiply
    322.62x = 481.52 × 312.54
  4. Step 4: Simplify right side
    322.62x = 150,492.70
  5. Step 5: Solve for x
    x = 150,492.70/322.62
  6. Step 6: Final answer
    x = 466.47

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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.