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Finding the Fourth Proportional to 398.09, 548.67 and 342.60

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Solution

The fourth proportional to 398.09, 548.67 and 342.60 is: 472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.09 : 548.67 = 342.60 : x
  2. Step 2: Convert to fraction form
    398.09/548.67 = 342.60/x
  3. Step 3: Cross multiply
    398.09x = 548.67 × 342.60
  4. Step 4: Simplify right side
    398.09x = 187,974.34
  5. Step 5: Solve for x
    x = 187,974.34/398.09
  6. Step 6: Final answer
    x = 472.19

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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.