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Finding the Fourth Proportional to 200.87, 299.67 and 195.29

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Solution

The fourth proportional to 200.87, 299.67 and 195.29 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.87 : 299.67 = 195.29 : x
  2. Step 2: Convert to fraction form
    200.87/299.67 = 195.29/x
  3. Step 3: Cross multiply
    200.87x = 299.67 × 195.29
  4. Step 4: Simplify right side
    200.87x = 58,521.58
  5. Step 5: Solve for x
    x = 58,521.58/200.87
  6. Step 6: Final answer
    x = 291.34

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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.