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Finding the Fourth Proportional to 220.05, 329.61 and 137.58

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Solution

The fourth proportional to 220.05, 329.61 and 137.58 is: 206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.05 : 329.61 = 137.58 : x
  2. Step 2: Convert to fraction form
    220.05/329.61 = 137.58/x
  3. Step 3: Cross multiply
    220.05x = 329.61 × 137.58
  4. Step 4: Simplify right side
    220.05x = 45,347.74
  5. Step 5: Solve for x
    x = 45,347.74/220.05
  6. Step 6: Final answer
    x = 206.08

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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.