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Finding the Fourth Proportional to 211.78, 290.58 and 200.17

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Solution

The fourth proportional to 211.78, 290.58 and 200.17 is: 274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 290.58 = 200.17 : x
  2. Step 2: Convert to fraction form
    211.78/290.58 = 200.17/x
  3. Step 3: Cross multiply
    211.78x = 290.58 × 200.17
  4. Step 4: Simplify right side
    211.78x = 58,164.67
  5. Step 5: Solve for x
    x = 58,164.67/211.78
  6. Step 6: Final answer
    x = 274.65

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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.