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Finding the Fourth Proportional to 217.77, 300.52 and 134.85

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Solution

The fourth proportional to 217.77, 300.52 and 134.85 is: 186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.77 : 300.52 = 134.85 : x
  2. Step 2: Convert to fraction form
    217.77/300.52 = 134.85/x
  3. Step 3: Cross multiply
    217.77x = 300.52 × 134.85
  4. Step 4: Simplify right side
    217.77x = 40,525.12
  5. Step 5: Solve for x
    x = 40,525.12/217.77
  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.