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Finding the Fourth Proportional to 327.49, 488.30 and 315.63

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Solution

The fourth proportional to 327.49, 488.30 and 315.63 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.49 : 488.30 = 315.63 : x
  2. Step 2: Convert to fraction form
    327.49/488.30 = 315.63/x
  3. Step 3: Cross multiply
    327.49x = 488.30 × 315.63
  4. Step 4: Simplify right side
    327.49x = 154,120.55
  5. Step 5: Solve for x
    x = 154,120.55/327.49
  6. Step 6: Final answer
    x = 470.62

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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.