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Finding the Fourth Proportional to 200.36, 299.26 and 165.80

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Solution

The fourth proportional to 200.36, 299.26 and 165.80 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.36 : 299.26 = 165.80 : x
  2. Step 2: Convert to fraction form
    200.36/299.26 = 165.80/x
  3. Step 3: Cross multiply
    200.36x = 299.26 × 165.80
  4. Step 4: Simplify right side
    200.36x = 49,617.31
  5. Step 5: Solve for x
    x = 49,617.31/200.36
  6. Step 6: Final answer
    x = 247.64

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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.