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Finding the Fourth Proportional to 146.81, 220.22 and 144.79

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Solution

The fourth proportional to 146.81, 220.22 and 144.79 is: 217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.81 : 220.22 = 144.79 : x
  2. Step 2: Convert to fraction form
    146.81/220.22 = 144.79/x
  3. Step 3: Cross multiply
    146.81x = 220.22 × 144.79
  4. Step 4: Simplify right side
    146.81x = 31,884.92
  5. Step 5: Solve for x
    x = 31,884.92/146.81
  6. Step 6: Final answer
    x = 217.18

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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.