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Finding the Fourth Proportional to 322.80, 481.68 and 315.60

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Solution

The fourth proportional to 322.80, 481.68 and 315.60 is: 470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.80 : 481.68 = 315.60 : x
  2. Step 2: Convert to fraction form
    322.80/481.68 = 315.60/x
  3. Step 3: Cross multiply
    322.80x = 481.68 × 315.60
  4. Step 4: Simplify right side
    322.80x = 152,018.21
  5. Step 5: Solve for x
    x = 152,018.21/322.80
  6. Step 6: Final answer
    x = 470.94

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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.