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Finding the Fourth Proportional to 339.76, 467.80 and 298.09

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Solution

The fourth proportional to 339.76, 467.80 and 298.09 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.76 : 467.80 = 298.09 : x
  2. Step 2: Convert to fraction form
    339.76/467.80 = 298.09/x
  3. Step 3: Cross multiply
    339.76x = 467.80 × 298.09
  4. Step 4: Simplify right side
    339.76x = 139,446.50
  5. Step 5: Solve for x
    x = 139,446.50/339.76
  6. Step 6: Final answer
    x = 410.43

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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.