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Finding the Fourth Proportional to 327.61, 489.54 and 240.36

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Solution

The fourth proportional to 327.61, 489.54 and 240.36 is: 359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.61 : 489.54 = 240.36 : x
  2. Step 2: Convert to fraction form
    327.61/489.54 = 240.36/x
  3. Step 3: Cross multiply
    327.61x = 489.54 × 240.36
  4. Step 4: Simplify right side
    327.61x = 117,665.83
  5. Step 5: Solve for x
    x = 117,665.83/327.61
  6. Step 6: Final answer
    x = 359.16

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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.