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Finding the Fourth Proportional to 322.38, 480.06 and 314.64

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Solution

The fourth proportional to 322.38, 480.06 and 314.64 is: 468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 480.06 = 314.64 : x
  2. Step 2: Convert to fraction form
    322.38/480.06 = 314.64/x
  3. Step 3: Cross multiply
    322.38x = 480.06 × 314.64
  4. Step 4: Simplify right side
    322.38x = 151,046.08
  5. Step 5: Solve for x
    x = 151,046.08/322.38
  6. Step 6: Final answer
    x = 468.53

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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.