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Finding the Fourth Proportional to 273.90, 378 and 149.57

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Solution

The fourth proportional to 273.90, 378 and 149.57 is: 206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.90 : 378 = 149.57 : x
  2. Step 2: Convert to fraction form
    273.90/378 = 149.57/x
  3. Step 3: Cross multiply
    273.90x = 378 × 149.57
  4. Step 4: Simplify right side
    273.90x = 56,535.57
  5. Step 5: Solve for x
    x = 56,535.57/273.90
  6. Step 6: Final answer
    x = 206.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.