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Finding the Fourth Proportional to 27.42, 37.78 and 22.80

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Solution

The fourth proportional to 27.42, 37.78 and 22.80 is: 31.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.42 : 37.78 = 22.80 : x
  2. Step 2: Convert to fraction form
    27.42/37.78 = 22.80/x
  3. Step 3: Cross multiply
    27.42x = 37.78 × 22.80
  4. Step 4: Simplify right side
    27.42x = 861.38
  5. Step 5: Solve for x
    x = 861.38/27.42
  6. Step 6: Final answer
    x = 31.41

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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.