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Finding the Fourth Proportional to 218.08, 329.02 and 194.32

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Solution

The fourth proportional to 218.08, 329.02 and 194.32 is: 293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.08 : 329.02 = 194.32 : x
  2. Step 2: Convert to fraction form
    218.08/329.02 = 194.32/x
  3. Step 3: Cross multiply
    218.08x = 329.02 × 194.32
  4. Step 4: Simplify right side
    218.08x = 63,935.17
  5. Step 5: Solve for x
    x = 63,935.17/218.08
  6. Step 6: Final answer
    x = 293.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.