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Finding the Fourth Proportional to 224.23, 309.52 and 200.87

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Solution

The fourth proportional to 224.23, 309.52 and 200.87 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.23 : 309.52 = 200.87 : x
  2. Step 2: Convert to fraction form
    224.23/309.52 = 200.87/x
  3. Step 3: Cross multiply
    224.23x = 309.52 × 200.87
  4. Step 4: Simplify right side
    224.23x = 62,173.28
  5. Step 5: Solve for x
    x = 62,173.28/224.23
  6. Step 6: Final answer
    x = 277.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.