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Finding the Fourth Proportional to 365.28, 547.65 and 326.40

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Solution

The fourth proportional to 365.28, 547.65 and 326.40 is: 489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 547.65 = 326.40 : x
  2. Step 2: Convert to fraction form
    365.28/547.65 = 326.40/x
  3. Step 3: Cross multiply
    365.28x = 547.65 × 326.40
  4. Step 4: Simplify right side
    365.28x = 178,752.96
  5. Step 5: Solve for x
    x = 178,752.96/365.28
  6. Step 6: Final answer
    x = 489.36

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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.