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Finding the Fourth Proportional to 220.80, 332.04 and 202.96

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Solution

The fourth proportional to 220.80, 332.04 and 202.96 is: 305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.80 : 332.04 = 202.96 : x
  2. Step 2: Convert to fraction form
    220.80/332.04 = 202.96/x
  3. Step 3: Cross multiply
    220.80x = 332.04 × 202.96
  4. Step 4: Simplify right side
    220.80x = 67,390.84
  5. Step 5: Solve for x
    x = 67,390.84/220.80
  6. Step 6: Final answer
    x = 305.21

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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.