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Finding the Fourth Proportional to 216.32, 298.26 and 197.81

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Solution

The fourth proportional to 216.32, 298.26 and 197.81 is: 272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.32 : 298.26 = 197.81 : x
  2. Step 2: Convert to fraction form
    216.32/298.26 = 197.81/x
  3. Step 3: Cross multiply
    216.32x = 298.26 × 197.81
  4. Step 4: Simplify right side
    216.32x = 58,998.81
  5. Step 5: Solve for x
    x = 58,998.81/216.32
  6. Step 6: Final answer
    x = 272.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.