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Finding the Fourth Proportional to 200.27, 299.84 and 130.97

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Solution

The fourth proportional to 200.27, 299.84 and 130.97 is: 196.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.27 : 299.84 = 130.97 : x
  2. Step 2: Convert to fraction form
    200.27/299.84 = 130.97/x
  3. Step 3: Cross multiply
    200.27x = 299.84 × 130.97
  4. Step 4: Simplify right side
    200.27x = 39,267.89
  5. Step 5: Solve for x
    x = 39,267.89/200.27
  6. Step 6: Final answer
    x = 196.08

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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.