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Finding the Fourth Proportional to 202.59, 304 and 80.86

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Solution

The fourth proportional to 202.59, 304 and 80.86 is: 121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.59 : 304 = 80.86 : x
  2. Step 2: Convert to fraction form
    202.59/304 = 80.86/x
  3. Step 3: Cross multiply
    202.59x = 304 × 80.86
  4. Step 4: Simplify right side
    202.59x = 24,579.92
  5. Step 5: Solve for x
    x = 24,579.92/202.59
  6. Step 6: Final answer
    x = 121.33

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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.