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Finding the Fourth Proportional to 41.66, 57.26 and 34.37

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Solution

The fourth proportional to 41.66, 57.26 and 34.37 is: 47.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.66 : 57.26 = 34.37 : x
  2. Step 2: Convert to fraction form
    41.66/57.26 = 34.37/x
  3. Step 3: Cross multiply
    41.66x = 57.26 × 34.37
  4. Step 4: Simplify right side
    41.66x = 1,968.03
  5. Step 5: Solve for x
    x = 1,968.03/41.66
  6. Step 6: Final answer
    x = 47.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.