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Finding the Fourth Proportional to 200.35, 299.09 and 169.57

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Solution

The fourth proportional to 200.35, 299.09 and 169.57 is: 253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.35 : 299.09 = 169.57 : x
  2. Step 2: Convert to fraction form
    200.35/299.09 = 169.57/x
  3. Step 3: Cross multiply
    200.35x = 299.09 × 169.57
  4. Step 4: Simplify right side
    200.35x = 50,716.69
  5. Step 5: Solve for x
    x = 50,716.69/200.35
  6. Step 6: Final answer
    x = 253.14

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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.