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Finding the Fourth Proportional to 211.10, 292.70 and 200.30

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Solution

The fourth proportional to 211.10, 292.70 and 200.30 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.10 : 292.70 = 200.30 : x
  2. Step 2: Convert to fraction form
    211.10/292.70 = 200.30/x
  3. Step 3: Cross multiply
    211.10x = 292.70 × 200.30
  4. Step 4: Simplify right side
    211.10x = 58,627.81
  5. Step 5: Solve for x
    x = 58,627.81/211.10
  6. Step 6: Final answer
    x = 277.73

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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.