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Finding the Fourth Proportional to 26.88, 37.30 and 26.24

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Solution

The fourth proportional to 26.88, 37.30 and 26.24 is: 36.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.88 : 37.30 = 26.24 : x
  2. Step 2: Convert to fraction form
    26.88/37.30 = 26.24/x
  3. Step 3: Cross multiply
    26.88x = 37.30 × 26.24
  4. Step 4: Simplify right side
    26.88x = 978.75
  5. Step 5: Solve for x
    x = 978.75/26.88
  6. Step 6: Final answer
    x = 36.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.