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Finding the Fourth Proportional to 226.02, 310.25 and 200.91

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Solution

The fourth proportional to 226.02, 310.25 and 200.91 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.02 : 310.25 = 200.91 : x
  2. Step 2: Convert to fraction form
    226.02/310.25 = 200.91/x
  3. Step 3: Cross multiply
    226.02x = 310.25 × 200.91
  4. Step 4: Simplify right side
    226.02x = 62,331.32
  5. Step 5: Solve for x
    x = 62,331.32/226.02
  6. Step 6: Final answer
    x = 275.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.