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Finding the Fourth Proportional to 144.62, 215.73 and 133.13

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Solution

The fourth proportional to 144.62, 215.73 and 133.13 is: 198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.62 : 215.73 = 133.13 : x
  2. Step 2: Convert to fraction form
    144.62/215.73 = 133.13/x
  3. Step 3: Cross multiply
    144.62x = 215.73 × 133.13
  4. Step 4: Simplify right side
    144.62x = 28,719.06
  5. Step 5: Solve for x
    x = 28,719.06/144.62
  6. Step 6: Final answer
    x = 198.59

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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.