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Finding the Fourth Proportional to 144.81, 217.28 and 134.48

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Solution

The fourth proportional to 144.81, 217.28 and 134.48 is: 201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 217.28 = 134.48 : x
  2. Step 2: Convert to fraction form
    144.81/217.28 = 134.48/x
  3. Step 3: Cross multiply
    144.81x = 217.28 × 134.48
  4. Step 4: Simplify right side
    144.81x = 29,218.06
  5. Step 5: Solve for x
    x = 29,218.06/144.81
  6. Step 6: Final answer
    x = 201.77

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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.