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Finding the Fourth Proportional to 218.79, 329.10 and 182.34

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Solution

The fourth proportional to 218.79, 329.10 and 182.34 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.79 : 329.10 = 182.34 : x
  2. Step 2: Convert to fraction form
    218.79/329.10 = 182.34/x
  3. Step 3: Cross multiply
    218.79x = 329.10 × 182.34
  4. Step 4: Simplify right side
    218.79x = 60,008.09
  5. Step 5: Solve for x
    x = 60,008.09/218.79
  6. Step 6: Final answer
    x = 274.27

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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.