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Finding the Fourth Proportional to 144.22, 215.45 and 141.66

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Solution

The fourth proportional to 144.22, 215.45 and 141.66 is: 211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.22 : 215.45 = 141.66 : x
  2. Step 2: Convert to fraction form
    144.22/215.45 = 141.66/x
  3. Step 3: Cross multiply
    144.22x = 215.45 × 141.66
  4. Step 4: Simplify right side
    144.22x = 30,520.65
  5. Step 5: Solve for x
    x = 30,520.65/144.22
  6. Step 6: Final answer
    x = 211.63

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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.