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Finding the Fourth Proportional to 220.07, 330.05 and 195.64

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Solution

The fourth proportional to 220.07, 330.05 and 195.64 is: 293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.07 : 330.05 = 195.64 : x
  2. Step 2: Convert to fraction form
    220.07/330.05 = 195.64/x
  3. Step 3: Cross multiply
    220.07x = 330.05 × 195.64
  4. Step 4: Simplify right side
    220.07x = 64,571.02
  5. Step 5: Solve for x
    x = 64,571.02/220.07
  6. Step 6: Final answer
    x = 293.42

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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.