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Finding the Fourth Proportional to 209.05, 311.42 and 202.68

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Solution

The fourth proportional to 209.05, 311.42 and 202.68 is: 301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 311.42 = 202.68 : x
  2. Step 2: Convert to fraction form
    209.05/311.42 = 202.68/x
  3. Step 3: Cross multiply
    209.05x = 311.42 × 202.68
  4. Step 4: Simplify right side
    209.05x = 63,118.61
  5. Step 5: Solve for x
    x = 63,118.61/209.05
  6. Step 6: Final answer
    x = 301.93

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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.