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Finding the Fourth Proportional to 144.20, 215.99 and 118.46

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Solution

The fourth proportional to 144.20, 215.99 and 118.46 is: 177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.20 : 215.99 = 118.46 : x
  2. Step 2: Convert to fraction form
    144.20/215.99 = 118.46/x
  3. Step 3: Cross multiply
    144.20x = 215.99 × 118.46
  4. Step 4: Simplify right side
    144.20x = 25,585.58
  5. Step 5: Solve for x
    x = 25,585.58/144.20
  6. Step 6: Final answer
    x = 177.43

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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.