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Finding the Fourth Proportional to 44.26, 66.07 and 37.80

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Solution

The fourth proportional to 44.26, 66.07 and 37.80 is: 56.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.26 : 66.07 = 37.80 : x
  2. Step 2: Convert to fraction form
    44.26/66.07 = 37.80/x
  3. Step 3: Cross multiply
    44.26x = 66.07 × 37.80
  4. Step 4: Simplify right side
    44.26x = 2,497.45
  5. Step 5: Solve for x
    x = 2,497.45/44.26
  6. Step 6: Final answer
    x = 56.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.