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Finding the Fourth Proportional to 217.74, 300.59 and 134.80

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Solution

The fourth proportional to 217.74, 300.59 and 134.80 is: 186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.74 : 300.59 = 134.80 : x
  2. Step 2: Convert to fraction form
    217.74/300.59 = 134.80/x
  3. Step 3: Cross multiply
    217.74x = 300.59 × 134.80
  4. Step 4: Simplify right side
    217.74x = 40,519.53
  5. Step 5: Solve for x
    x = 40,519.53/217.74
  6. Step 6: Final answer
    x = 186.09

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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.