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Finding the Fourth Proportional to 198.48, 296.44 and 144.20

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Solution

The fourth proportional to 198.48, 296.44 and 144.20 is: 215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.48 : 296.44 = 144.20 : x
  2. Step 2: Convert to fraction form
    198.48/296.44 = 144.20/x
  3. Step 3: Cross multiply
    198.48x = 296.44 × 144.20
  4. Step 4: Simplify right side
    198.48x = 42,746.65
  5. Step 5: Solve for x
    x = 42,746.65/198.48
  6. Step 6: Final answer
    x = 215.37

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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.