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Finding the Fourth Proportional to 37.21, 50.68 and 36.46

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Solution

The fourth proportional to 37.21, 50.68 and 36.46 is: 49.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.21 : 50.68 = 36.46 : x
  2. Step 2: Convert to fraction form
    37.21/50.68 = 36.46/x
  3. Step 3: Cross multiply
    37.21x = 50.68 × 36.46
  4. Step 4: Simplify right side
    37.21x = 1,847.79
  5. Step 5: Solve for x
    x = 1,847.79/37.21
  6. Step 6: Final answer
    x = 49.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.