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Finding the Fourth Proportional to 366.45, 547.25 and 326.13

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Solution

The fourth proportional to 366.45, 547.25 and 326.13 is: 487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.45 : 547.25 = 326.13 : x
  2. Step 2: Convert to fraction form
    366.45/547.25 = 326.13/x
  3. Step 3: Cross multiply
    366.45x = 547.25 × 326.13
  4. Step 4: Simplify right side
    366.45x = 178,474.64
  5. Step 5: Solve for x
    x = 178,474.64/366.45
  6. Step 6: Final answer
    x = 487.04

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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.