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Finding the Fourth Proportional to 217.56, 300.25 and 124.31

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Solution

The fourth proportional to 217.56, 300.25 and 124.31 is: 171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.56 : 300.25 = 124.31 : x
  2. Step 2: Convert to fraction form
    217.56/300.25 = 124.31/x
  3. Step 3: Cross multiply
    217.56x = 300.25 × 124.31
  4. Step 4: Simplify right side
    217.56x = 37,324.08
  5. Step 5: Solve for x
    x = 37,324.08/217.56
  6. Step 6: Final answer
    x = 171.56

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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.