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Finding the Fourth Proportional to 220.01, 329.56 and 98.36

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Solution

The fourth proportional to 220.01, 329.56 and 98.36 is: 147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.01 : 329.56 = 98.36 : x
  2. Step 2: Convert to fraction form
    220.01/329.56 = 98.36/x
  3. Step 3: Cross multiply
    220.01x = 329.56 × 98.36
  4. Step 4: Simplify right side
    220.01x = 32,415.52
  5. Step 5: Solve for x
    x = 32,415.52/220.01
  6. Step 6: Final answer
    x = 147.34

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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.