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Finding the Fourth Proportional to 225.27, 309.20 and 200.16

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Solution

The fourth proportional to 225.27, 309.20 and 200.16 is: 274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.27 : 309.20 = 200.16 : x
  2. Step 2: Convert to fraction form
    225.27/309.20 = 200.16/x
  3. Step 3: Cross multiply
    225.27x = 309.20 × 200.16
  4. Step 4: Simplify right side
    225.27x = 61,888.47
  5. Step 5: Solve for x
    x = 61,888.47/225.27
  6. Step 6: Final answer
    x = 274.73

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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.