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Finding the Fourth Proportional to 326.61, 451.17 and 295.56

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Solution

The fourth proportional to 326.61, 451.17 and 295.56 is: 408.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.61 : 451.17 = 295.56 : x
  2. Step 2: Convert to fraction form
    326.61/451.17 = 295.56/x
  3. Step 3: Cross multiply
    326.61x = 451.17 × 295.56
  4. Step 4: Simplify right side
    326.61x = 133,347.81
  5. Step 5: Solve for x
    x = 133,347.81/326.61
  6. Step 6: Final answer
    x = 408.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.