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Finding the Fourth Proportional to 26.64, 40.14 and 21.42

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Solution

The fourth proportional to 26.64, 40.14 and 21.42 is: 32.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.64 : 40.14 = 21.42 : x
  2. Step 2: Convert to fraction form
    26.64/40.14 = 21.42/x
  3. Step 3: Cross multiply
    26.64x = 40.14 × 21.42
  4. Step 4: Simplify right side
    26.64x = 859.80
  5. Step 5: Solve for x
    x = 859.80/26.64
  6. Step 6: Final answer
    x = 32.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.