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Finding the Fourth Proportional to 37.08, 50.81 and 37.02

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Solution

The fourth proportional to 37.08, 50.81 and 37.02 is: 50.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.08 : 50.81 = 37.02 : x
  2. Step 2: Convert to fraction form
    37.08/50.81 = 37.02/x
  3. Step 3: Cross multiply
    37.08x = 50.81 × 37.02
  4. Step 4: Simplify right side
    37.08x = 1,880.99
  5. Step 5: Solve for x
    x = 1,880.99/37.08
  6. Step 6: Final answer
    x = 50.73

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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.