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Finding the Fourth Proportional to 202.97, 302.42 and 194.41

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Solution

The fourth proportional to 202.97, 302.42 and 194.41 is: 289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.97 : 302.42 = 194.41 : x
  2. Step 2: Convert to fraction form
    202.97/302.42 = 194.41/x
  3. Step 3: Cross multiply
    202.97x = 302.42 × 194.41
  4. Step 4: Simplify right side
    202.97x = 58,793.20
  5. Step 5: Solve for x
    x = 58,793.20/202.97
  6. Step 6: Final answer
    x = 289.67

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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.