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Finding the Fourth Proportional to 326.32, 488.76 and 271.60

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Solution

The fourth proportional to 326.32, 488.76 and 271.60 is: 406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.32 : 488.76 = 271.60 : x
  2. Step 2: Convert to fraction form
    326.32/488.76 = 271.60/x
  3. Step 3: Cross multiply
    326.32x = 488.76 × 271.60
  4. Step 4: Simplify right side
    326.32x = 132,747.22
  5. Step 5: Solve for x
    x = 132,747.22/326.32
  6. Step 6: Final answer
    x = 406.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.