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Finding the Fourth Proportional to 270.95, 408.54 and 248.27

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Solution

The fourth proportional to 270.95, 408.54 and 248.27 is: 374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.95 : 408.54 = 248.27 : x
  2. Step 2: Convert to fraction form
    270.95/408.54 = 248.27/x
  3. Step 3: Cross multiply
    270.95x = 408.54 × 248.27
  4. Step 4: Simplify right side
    270.95x = 101,427.11
  5. Step 5: Solve for x
    x = 101,427.11/270.95
  6. Step 6: Final answer
    x = 374.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.