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Finding the Fourth Proportional to 217.78, 300.50 and 124.52

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Solution

The fourth proportional to 217.78, 300.50 and 124.52 is: 171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.78 : 300.50 = 124.52 : x
  2. Step 2: Convert to fraction form
    217.78/300.50 = 124.52/x
  3. Step 3: Cross multiply
    217.78x = 300.50 × 124.52
  4. Step 4: Simplify right side
    217.78x = 37,418.26
  5. Step 5: Solve for x
    x = 37,418.26/217.78
  6. Step 6: Final answer
    x = 171.82

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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.