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Finding the Fourth Proportional to 212.77, 291.87 and 200.35

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Solution

The fourth proportional to 212.77, 291.87 and 200.35 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.77 : 291.87 = 200.35 : x
  2. Step 2: Convert to fraction form
    212.77/291.87 = 200.35/x
  3. Step 3: Cross multiply
    212.77x = 291.87 × 200.35
  4. Step 4: Simplify right side
    212.77x = 58,476.15
  5. Step 5: Solve for x
    x = 58,476.15/212.77
  6. Step 6: Final answer
    x = 274.83

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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.