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Finding the Fourth Proportional to 326.30, 488.96 and 261.05

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Solution

The fourth proportional to 326.30, 488.96 and 261.05 is: 391.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.30 : 488.96 = 261.05 : x
  2. Step 2: Convert to fraction form
    326.30/488.96 = 261.05/x
  3. Step 3: Cross multiply
    326.30x = 488.96 × 261.05
  4. Step 4: Simplify right side
    326.30x = 127,641.70
  5. Step 5: Solve for x
    x = 127,641.70/326.30
  6. Step 6: Final answer
    x = 391.18

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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.