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Finding the Fourth Proportional to 362.40, 540.30 and 328.20

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Solution

The fourth proportional to 362.40, 540.30 and 328.20 is: 489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 540.30 = 328.20 : x
  2. Step 2: Convert to fraction form
    362.40/540.30 = 328.20/x
  3. Step 3: Cross multiply
    362.40x = 540.30 × 328.20
  4. Step 4: Simplify right side
    362.40x = 177,326.46
  5. Step 5: Solve for x
    x = 177,326.46/362.40
  6. Step 6: Final answer
    x = 489.31

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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.