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Finding the Fourth Proportional to 270.78, 371.28 and 244.45

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Solution

The fourth proportional to 270.78, 371.28 and 244.45 is: 335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.78 : 371.28 = 244.45 : x
  2. Step 2: Convert to fraction form
    270.78/371.28 = 244.45/x
  3. Step 3: Cross multiply
    270.78x = 371.28 × 244.45
  4. Step 4: Simplify right side
    270.78x = 90,758.71
  5. Step 5: Solve for x
    x = 90,758.71/270.78
  6. Step 6: Final answer
    x = 335.18

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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.