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Finding the Fourth Proportional to 144.46, 215.72 and 126.22

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Solution

The fourth proportional to 144.46, 215.72 and 126.22 is: 188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.46 : 215.72 = 126.22 : x
  2. Step 2: Convert to fraction form
    144.46/215.72 = 126.22/x
  3. Step 3: Cross multiply
    144.46x = 215.72 × 126.22
  4. Step 4: Simplify right side
    144.46x = 27,228.18
  5. Step 5: Solve for x
    x = 27,228.18/144.46
  6. Step 6: Final answer
    x = 188.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.