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Finding the Fourth Proportional to 212.40, 290.93 and 199.95

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Solution

The fourth proportional to 212.40, 290.93 and 199.95 is: 273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.40 : 290.93 = 199.95 : x
  2. Step 2: Convert to fraction form
    212.40/290.93 = 199.95/x
  3. Step 3: Cross multiply
    212.40x = 290.93 × 199.95
  4. Step 4: Simplify right side
    212.40x = 58,170.45
  5. Step 5: Solve for x
    x = 58,170.45/212.40
  6. Step 6: Final answer
    x = 273.87

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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.