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Finding the Fourth Proportional to 339.83, 468.79 and 199.85

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Solution

The fourth proportional to 339.83, 468.79 and 199.85 is: 275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.83 : 468.79 = 199.85 : x
  2. Step 2: Convert to fraction form
    339.83/468.79 = 199.85/x
  3. Step 3: Cross multiply
    339.83x = 468.79 × 199.85
  4. Step 4: Simplify right side
    339.83x = 93,689.27
  5. Step 5: Solve for x
    x = 93,689.27/339.83
  6. Step 6: Final answer
    x = 275.70

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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.