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Finding the Fourth Proportional to 217.18, 325.97 and 135.77

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Solution

The fourth proportional to 217.18, 325.97 and 135.77 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.18 : 325.97 = 135.77 : x
  2. Step 2: Convert to fraction form
    217.18/325.97 = 135.77/x
  3. Step 3: Cross multiply
    217.18x = 325.97 × 135.77
  4. Step 4: Simplify right side
    217.18x = 44,256.27
  5. Step 5: Solve for x
    x = 44,256.27/217.18
  6. Step 6: Final answer
    x = 203.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.