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Finding the Fourth Proportional to 339.22, 468.46 and 270.01

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Solution

The fourth proportional to 339.22, 468.46 and 270.01 is: 372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.22 : 468.46 = 270.01 : x
  2. Step 2: Convert to fraction form
    339.22/468.46 = 270.01/x
  3. Step 3: Cross multiply
    339.22x = 468.46 × 270.01
  4. Step 4: Simplify right side
    339.22x = 126,488.88
  5. Step 5: Solve for x
    x = 126,488.88/339.22
  6. Step 6: Final answer
    x = 372.88

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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.