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Finding the Fourth Proportional to 39.80, 59.36 and 37.37

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Solution

The fourth proportional to 39.80, 59.36 and 37.37 is: 55.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.80 : 59.36 = 37.37 : x
  2. Step 2: Convert to fraction form
    39.80/59.36 = 37.37/x
  3. Step 3: Cross multiply
    39.80x = 59.36 × 37.37
  4. Step 4: Simplify right side
    39.80x = 2,218.24
  5. Step 5: Solve for x
    x = 2,218.24/39.80
  6. Step 6: Final answer
    x = 55.73

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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.