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Finding the Fourth Proportional to 27.16, 40.40 and 25.44

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Solution

The fourth proportional to 27.16, 40.40 and 25.44 is: 37.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.16 : 40.40 = 25.44 : x
  2. Step 2: Convert to fraction form
    27.16/40.40 = 25.44/x
  3. Step 3: Cross multiply
    27.16x = 40.40 × 25.44
  4. Step 4: Simplify right side
    27.16x = 1,027.78
  5. Step 5: Solve for x
    x = 1,027.78/27.16
  6. Step 6: Final answer
    x = 37.84

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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.