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Finding the Fourth Proportional to 220.07, 328.73 and 198.37

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Solution

The fourth proportional to 220.07, 328.73 and 198.37 is: 296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.07 : 328.73 = 198.37 : x
  2. Step 2: Convert to fraction form
    220.07/328.73 = 198.37/x
  3. Step 3: Cross multiply
    220.07x = 328.73 × 198.37
  4. Step 4: Simplify right side
    220.07x = 65,210.17
  5. Step 5: Solve for x
    x = 65,210.17/220.07
  6. Step 6: Final answer
    x = 296.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.