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Finding the Fourth Proportional to 33.25, 49.87 and 9.20

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Solution

The fourth proportional to 33.25, 49.87 and 9.20 is: 13.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.25 : 49.87 = 9.20 : x
  2. Step 2: Convert to fraction form
    33.25/49.87 = 9.20/x
  3. Step 3: Cross multiply
    33.25x = 49.87 × 9.20
  4. Step 4: Simplify right side
    33.25x = 458.78
  5. Step 5: Solve for x
    x = 458.78/33.25
  6. Step 6: Final answer
    x = 13.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.