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Finding the Fourth Proportional to 270.48, 373.92 and 226.80

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Solution

The fourth proportional to 270.48, 373.92 and 226.80 is: 313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.48 : 373.92 = 226.80 : x
  2. Step 2: Convert to fraction form
    270.48/373.92 = 226.80/x
  3. Step 3: Cross multiply
    270.48x = 373.92 × 226.80
  4. Step 4: Simplify right side
    270.48x = 84,805.06
  5. Step 5: Solve for x
    x = 84,805.06/270.48
  6. Step 6: Final answer
    x = 313.54

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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.