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Finding the Fourth Proportional to 27.42, 40.92 and 21.69

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Solution

The fourth proportional to 27.42, 40.92 and 21.69 is: 32.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.42 : 40.92 = 21.69 : x
  2. Step 2: Convert to fraction form
    27.42/40.92 = 21.69/x
  3. Step 3: Cross multiply
    27.42x = 40.92 × 21.69
  4. Step 4: Simplify right side
    27.42x = 887.55
  5. Step 5: Solve for x
    x = 887.55/27.42
  6. Step 6: Final answer
    x = 32.37

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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.