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Finding the Fourth Proportional to 327.65, 488.70 and 308.61

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Solution

The fourth proportional to 327.65, 488.70 and 308.61 is: 460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.65 : 488.70 = 308.61 : x
  2. Step 2: Convert to fraction form
    327.65/488.70 = 308.61/x
  3. Step 3: Cross multiply
    327.65x = 488.70 × 308.61
  4. Step 4: Simplify right side
    327.65x = 150,817.71
  5. Step 5: Solve for x
    x = 150,817.71/327.65
  6. Step 6: Final answer
    x = 460.31

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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.