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Finding the Fourth Proportional to 146.19, 220.86 and 144.69

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Solution

The fourth proportional to 146.19, 220.86 and 144.69 is: 218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.19 : 220.86 = 144.69 : x
  2. Step 2: Convert to fraction form
    146.19/220.86 = 144.69/x
  3. Step 3: Cross multiply
    146.19x = 220.86 × 144.69
  4. Step 4: Simplify right side
    146.19x = 31,956.23
  5. Step 5: Solve for x
    x = 31,956.23/146.19
  6. Step 6: Final answer
    x = 218.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.