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Finding the Fourth Proportional to 211.44, 293.25 and 200.40

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Solution

The fourth proportional to 211.44, 293.25 and 200.40 is: 277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.44 : 293.25 = 200.40 : x
  2. Step 2: Convert to fraction form
    211.44/293.25 = 200.40/x
  3. Step 3: Cross multiply
    211.44x = 293.25 × 200.40
  4. Step 4: Simplify right side
    211.44x = 58,767.30
  5. Step 5: Solve for x
    x = 58,767.30/211.44
  6. Step 6: Final answer
    x = 277.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.