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Finding the Fourth Proportional to 217.82, 300.29 and 155.63

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Solution

The fourth proportional to 217.82, 300.29 and 155.63 is: 214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.82 : 300.29 = 155.63 : x
  2. Step 2: Convert to fraction form
    217.82/300.29 = 155.63/x
  3. Step 3: Cross multiply
    217.82x = 300.29 × 155.63
  4. Step 4: Simplify right side
    217.82x = 46,735.27
  5. Step 5: Solve for x
    x = 46,735.27/217.82
  6. Step 6: Final answer
    x = 214.56

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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.