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Finding the Fourth Proportional to 339.97, 469.12 and 200.07

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Solution

The fourth proportional to 339.97, 469.12 and 200.07 is: 276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.97 : 469.12 = 200.07 : x
  2. Step 2: Convert to fraction form
    339.97/469.12 = 200.07/x
  3. Step 3: Cross multiply
    339.97x = 469.12 × 200.07
  4. Step 4: Simplify right side
    339.97x = 93,856.84
  5. Step 5: Solve for x
    x = 93,856.84/339.97
  6. Step 6: Final answer
    x = 276.07

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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.