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Finding the Fourth Proportional to 37.05, 51.39 and 35.22

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Solution

The fourth proportional to 37.05, 51.39 and 35.22 is: 48.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.05 : 51.39 = 35.22 : x
  2. Step 2: Convert to fraction form
    37.05/51.39 = 35.22/x
  3. Step 3: Cross multiply
    37.05x = 51.39 × 35.22
  4. Step 4: Simplify right side
    37.05x = 1,809.96
  5. Step 5: Solve for x
    x = 1,809.96/37.05
  6. Step 6: Final answer
    x = 48.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.