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Finding the Fourth Proportional to 327.06, 488.48 and 258.66

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Solution

The fourth proportional to 327.06, 488.48 and 258.66 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.06 : 488.48 = 258.66 : x
  2. Step 2: Convert to fraction form
    327.06/488.48 = 258.66/x
  3. Step 3: Cross multiply
    327.06x = 488.48 × 258.66
  4. Step 4: Simplify right side
    327.06x = 126,348.94
  5. Step 5: Solve for x
    x = 126,348.94/327.06
  6. Step 6: Final answer
    x = 386.32

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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.