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Finding the Fourth Proportional to 217.51, 300.24 and 134.68

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Solution

The fourth proportional to 217.51, 300.24 and 134.68 is: 185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.51 : 300.24 = 134.68 : x
  2. Step 2: Convert to fraction form
    217.51/300.24 = 134.68/x
  3. Step 3: Cross multiply
    217.51x = 300.24 × 134.68
  4. Step 4: Simplify right side
    217.51x = 40,436.32
  5. Step 5: Solve for x
    x = 40,436.32/217.51
  6. Step 6: Final answer
    x = 185.91

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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.