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Finding the Fourth Proportional to 218.84, 329.94 and 192.11

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Solution

The fourth proportional to 218.84, 329.94 and 192.11 is: 289.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.84 : 329.94 = 192.11 : x
  2. Step 2: Convert to fraction form
    218.84/329.94 = 192.11/x
  3. Step 3: Cross multiply
    218.84x = 329.94 × 192.11
  4. Step 4: Simplify right side
    218.84x = 63,383.12
  5. Step 5: Solve for x
    x = 63,383.12/218.84
  6. Step 6: Final answer
    x = 289.64

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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.