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Finding the Fourth Proportional to 363.18, 541.91 and 328.36

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Solution

The fourth proportional to 363.18, 541.91 and 328.36 is: 489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.18 : 541.91 = 328.36 : x
  2. Step 2: Convert to fraction form
    363.18/541.91 = 328.36/x
  3. Step 3: Cross multiply
    363.18x = 541.91 × 328.36
  4. Step 4: Simplify right side
    363.18x = 177,941.57
  5. Step 5: Solve for x
    x = 177,941.57/363.18
  6. Step 6: Final answer
    x = 489.95

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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.