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Finding the Fourth Proportional to 27.12, 40.26 and 26.16

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Solution

The fourth proportional to 27.12, 40.26 and 26.16 is: 38.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.12 : 40.26 = 26.16 : x
  2. Step 2: Convert to fraction form
    27.12/40.26 = 26.16/x
  3. Step 3: Cross multiply
    27.12x = 40.26 × 26.16
  4. Step 4: Simplify right side
    27.12x = 1,053.20
  5. Step 5: Solve for x
    x = 1,053.20/27.12
  6. Step 6: Final answer
    x = 38.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.