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Finding the Fourth Proportional to 211.14, 292.76 and 200.20

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Solution

The fourth proportional to 211.14, 292.76 and 200.20 is: 277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.14 : 292.76 = 200.20 : x
  2. Step 2: Convert to fraction form
    211.14/292.76 = 200.20/x
  3. Step 3: Cross multiply
    211.14x = 292.76 × 200.20
  4. Step 4: Simplify right side
    211.14x = 58,610.55
  5. Step 5: Solve for x
    x = 58,610.55/211.14
  6. Step 6: Final answer
    x = 277.59

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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.