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Finding the Fourth Proportional to 208.80, 311.04 and 202.68

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Solution

The fourth proportional to 208.80, 311.04 and 202.68 is: 301.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.80 : 311.04 = 202.68 : x
  2. Step 2: Convert to fraction form
    208.80/311.04 = 202.68/x
  3. Step 3: Cross multiply
    208.80x = 311.04 × 202.68
  4. Step 4: Simplify right side
    208.80x = 63,041.59
  5. Step 5: Solve for x
    x = 63,041.59/208.80
  6. Step 6: Final answer
    x = 301.92

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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.