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Finding the Fourth Proportional to 37.05, 50.78 and 35.46

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Solution

The fourth proportional to 37.05, 50.78 and 35.46 is: 48.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.05 : 50.78 = 35.46 : x
  2. Step 2: Convert to fraction form
    37.05/50.78 = 35.46/x
  3. Step 3: Cross multiply
    37.05x = 50.78 × 35.46
  4. Step 4: Simplify right side
    37.05x = 1,800.48
  5. Step 5: Solve for x
    x = 1,800.48/37.05
  6. Step 6: Final answer
    x = 48.59

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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.