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Finding the Fourth Proportional to 217.27, 300.14 and 173.55

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Solution

The fourth proportional to 217.27, 300.14 and 173.55 is: 239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.27 : 300.14 = 173.55 : x
  2. Step 2: Convert to fraction form
    217.27/300.14 = 173.55/x
  3. Step 3: Cross multiply
    217.27x = 300.14 × 173.55
  4. Step 4: Simplify right side
    217.27x = 52,089.30
  5. Step 5: Solve for x
    x = 52,089.30/217.27
  6. Step 6: Final answer
    x = 239.74

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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.