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Finding the Fourth Proportional to 70.02, 104.99 and 27.26

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Solution

The fourth proportional to 70.02, 104.99 and 27.26 is: 40.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.02 : 104.99 = 27.26 : x
  2. Step 2: Convert to fraction form
    70.02/104.99 = 27.26/x
  3. Step 3: Cross multiply
    70.02x = 104.99 × 27.26
  4. Step 4: Simplify right side
    70.02x = 2,862.03
  5. Step 5: Solve for x
    x = 2,862.03/70.02
  6. Step 6: Final answer
    x = 40.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.