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Finding the Fourth Proportional to 217.32, 298.12 and 199.10

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Solution

The fourth proportional to 217.32, 298.12 and 199.10 is: 273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.32 : 298.12 = 199.10 : x
  2. Step 2: Convert to fraction form
    217.32/298.12 = 199.10/x
  3. Step 3: Cross multiply
    217.32x = 298.12 × 199.10
  4. Step 4: Simplify right side
    217.32x = 59,355.69
  5. Step 5: Solve for x
    x = 59,355.69/217.32
  6. Step 6: Final answer
    x = 273.13

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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.