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Finding the Fourth Proportional to 27.61, 41.26 and 22.21

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Solution

The fourth proportional to 27.61, 41.26 and 22.21 is: 33.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.61 : 41.26 = 22.21 : x
  2. Step 2: Convert to fraction form
    27.61/41.26 = 22.21/x
  3. Step 3: Cross multiply
    27.61x = 41.26 × 22.21
  4. Step 4: Simplify right side
    27.61x = 916.27
  5. Step 5: Solve for x
    x = 916.27/27.61
  6. Step 6: Final answer
    x = 33.19

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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.