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Finding the Fourth Proportional to 330.48, 496.80 and 203.04

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Solution

The fourth proportional to 330.48, 496.80 and 203.04 is: 305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.48 : 496.80 = 203.04 : x
  2. Step 2: Convert to fraction form
    330.48/496.80 = 203.04/x
  3. Step 3: Cross multiply
    330.48x = 496.80 × 203.04
  4. Step 4: Simplify right side
    330.48x = 100,870.27
  5. Step 5: Solve for x
    x = 100,870.27/330.48
  6. Step 6: Final answer
    x = 305.22

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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.