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Finding the Fourth Proportional to 225.11, 337.26 and 144.11

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Solution

The fourth proportional to 225.11, 337.26 and 144.11 is: 215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.11 : 337.26 = 144.11 : x
  2. Step 2: Convert to fraction form
    225.11/337.26 = 144.11/x
  3. Step 3: Cross multiply
    225.11x = 337.26 × 144.11
  4. Step 4: Simplify right side
    225.11x = 48,602.54
  5. Step 5: Solve for x
    x = 48,602.54/225.11
  6. Step 6: Final answer
    x = 215.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.