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Finding the Fourth Proportional to 45.26, 68.26 and 43.82

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Solution

The fourth proportional to 45.26, 68.26 and 43.82 is: 66.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.26 : 68.26 = 43.82 : x
  2. Step 2: Convert to fraction form
    45.26/68.26 = 43.82/x
  3. Step 3: Cross multiply
    45.26x = 68.26 × 43.82
  4. Step 4: Simplify right side
    45.26x = 2,991.15
  5. Step 5: Solve for x
    x = 2,991.15/45.26
  6. Step 6: Final answer
    x = 66.09

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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.