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Finding the Fourth Proportional to 37.80, 54.78 and 37.80

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Solution

The fourth proportional to 37.80, 54.78 and 37.80 is: 54.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.80 : 54.78 = 37.80 : x
  2. Step 2: Convert to fraction form
    37.80/54.78 = 37.80/x
  3. Step 3: Cross multiply
    37.80x = 54.78 × 37.80
  4. Step 4: Simplify right side
    37.80x = 2,070.68
  5. Step 5: Solve for x
    x = 2,070.68/37.80
  6. Step 6: Final answer
    x = 54.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.