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Finding the Fourth Proportional to 217.52, 300.36 and 155.54

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Solution

The fourth proportional to 217.52, 300.36 and 155.54 is: 214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.52 : 300.36 = 155.54 : x
  2. Step 2: Convert to fraction form
    217.52/300.36 = 155.54/x
  3. Step 3: Cross multiply
    217.52x = 300.36 × 155.54
  4. Step 4: Simplify right side
    217.52x = 46,717.99
  5. Step 5: Solve for x
    x = 46,717.99/217.52
  6. Step 6: Final answer
    x = 214.78

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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.