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Finding the Fourth Proportional to 339.70, 467.84 and 261.94

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Solution

The fourth proportional to 339.70, 467.84 and 261.94 is: 360.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.70 : 467.84 = 261.94 : x
  2. Step 2: Convert to fraction form
    339.70/467.84 = 261.94/x
  3. Step 3: Cross multiply
    339.70x = 467.84 × 261.94
  4. Step 4: Simplify right side
    339.70x = 122,546.01
  5. Step 5: Solve for x
    x = 122,546.01/339.70
  6. Step 6: Final answer
    x = 360.75

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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.