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Finding the Fourth Proportional to 33.23, 49.60 and 27.20

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Solution

The fourth proportional to 33.23, 49.60 and 27.20 is: 40.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.23 : 49.60 = 27.20 : x
  2. Step 2: Convert to fraction form
    33.23/49.60 = 27.20/x
  3. Step 3: Cross multiply
    33.23x = 49.60 × 27.20
  4. Step 4: Simplify right side
    33.23x = 1,349.12
  5. Step 5: Solve for x
    x = 1,349.12/33.23
  6. Step 6: Final answer
    x = 40.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.