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Finding the Fourth Proportional to 202.82, 302.45 and 191.71

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Solution

The fourth proportional to 202.82, 302.45 and 191.71 is: 285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 302.45 = 191.71 : x
  2. Step 2: Convert to fraction form
    202.82/302.45 = 191.71/x
  3. Step 3: Cross multiply
    202.82x = 302.45 × 191.71
  4. Step 4: Simplify right side
    202.82x = 57,982.69
  5. Step 5: Solve for x
    x = 57,982.69/202.82
  6. Step 6: Final answer
    x = 285.88

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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.