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Finding the Fourth Proportional to 159.69, 220.39 and 104.58

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Solution

The fourth proportional to 159.69, 220.39 and 104.58 is: 144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.69 : 220.39 = 104.58 : x
  2. Step 2: Convert to fraction form
    159.69/220.39 = 104.58/x
  3. Step 3: Cross multiply
    159.69x = 220.39 × 104.58
  4. Step 4: Simplify right side
    159.69x = 23,048.12
  5. Step 5: Solve for x
    x = 23,048.12/159.69
  6. Step 6: Final answer
    x = 144.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.