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Finding the Fourth Proportional to 339.78, 468.96 and 215.46

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Solution

The fourth proportional to 339.78, 468.96 and 215.46 is: 297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.78 : 468.96 = 215.46 : x
  2. Step 2: Convert to fraction form
    339.78/468.96 = 215.46/x
  3. Step 3: Cross multiply
    339.78x = 468.96 × 215.46
  4. Step 4: Simplify right side
    339.78x = 101,042.12
  5. Step 5: Solve for x
    x = 101,042.12/339.78
  6. Step 6: Final answer
    x = 297.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.