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Finding the Fourth Proportional to 218.31, 329.04 and 188.24

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Solution

The fourth proportional to 218.31, 329.04 and 188.24 is: 283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.31 : 329.04 = 188.24 : x
  2. Step 2: Convert to fraction form
    218.31/329.04 = 188.24/x
  3. Step 3: Cross multiply
    218.31x = 329.04 × 188.24
  4. Step 4: Simplify right side
    218.31x = 61,937.55
  5. Step 5: Solve for x
    x = 61,937.55/218.31
  6. Step 6: Final answer
    x = 283.71

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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.