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Finding the Fourth Proportional to 231.78, 349.28 and 218.10

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Solution

The fourth proportional to 231.78, 349.28 and 218.10 is: 328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.78 : 349.28 = 218.10 : x
  2. Step 2: Convert to fraction form
    231.78/349.28 = 218.10/x
  3. Step 3: Cross multiply
    231.78x = 349.28 × 218.10
  4. Step 4: Simplify right side
    231.78x = 76,177.97
  5. Step 5: Solve for x
    x = 76,177.97/231.78
  6. Step 6: Final answer
    x = 328.66

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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.