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Finding the Fourth Proportional to 217.53, 323.55 and 198.05

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Solution

The fourth proportional to 217.53, 323.55 and 198.05 is: 294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.53 : 323.55 = 198.05 : x
  2. Step 2: Convert to fraction form
    217.53/323.55 = 198.05/x
  3. Step 3: Cross multiply
    217.53x = 323.55 × 198.05
  4. Step 4: Simplify right side
    217.53x = 64,077.46
  5. Step 5: Solve for x
    x = 64,077.46/217.53
  6. Step 6: Final answer
    x = 294.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.