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Finding the Fourth Proportional to 326.86, 488.14 and 261.96

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Solution

The fourth proportional to 326.86, 488.14 and 261.96 is: 391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.86 : 488.14 = 261.96 : x
  2. Step 2: Convert to fraction form
    326.86/488.14 = 261.96/x
  3. Step 3: Cross multiply
    326.86x = 488.14 × 261.96
  4. Step 4: Simplify right side
    326.86x = 127,870.67
  5. Step 5: Solve for x
    x = 127,870.67/326.86
  6. Step 6: Final answer
    x = 391.21

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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.