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Finding the Fourth Proportional to 275.00, 378.47 and 270.14

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Solution

The fourth proportional to 275.00, 378.47 and 270.14 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.00 : 378.47 = 270.14 : x
  2. Step 2: Convert to fraction form
    275.00/378.47 = 270.14/x
  3. Step 3: Cross multiply
    275.00x = 378.47 × 270.14
  4. Step 4: Simplify right side
    275.00x = 102,238.67
  5. Step 5: Solve for x
    x = 102,238.67/275.00
  6. Step 6: Final answer
    x = 371.78

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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.