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Finding the Fourth Proportional to 398.55, 548.82 and 315.41

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Solution

The fourth proportional to 398.55, 548.82 and 315.41 is: 434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.55 : 548.82 = 315.41 : x
  2. Step 2: Convert to fraction form
    398.55/548.82 = 315.41/x
  3. Step 3: Cross multiply
    398.55x = 548.82 × 315.41
  4. Step 4: Simplify right side
    398.55x = 173,100.57
  5. Step 5: Solve for x
    x = 173,100.57/398.55
  6. Step 6: Final answer
    x = 434.33

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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.