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Finding the Fourth Proportional to 217.11, 298.70 and 189.55

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Solution

The fourth proportional to 217.11, 298.70 and 189.55 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.11 : 298.70 = 189.55 : x
  2. Step 2: Convert to fraction form
    217.11/298.70 = 189.55/x
  3. Step 3: Cross multiply
    217.11x = 298.70 × 189.55
  4. Step 4: Simplify right side
    217.11x = 56,617.09
  5. Step 5: Solve for x
    x = 56,617.09/217.11
  6. Step 6: Final answer
    x = 260.78

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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.