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Finding the Fourth Proportional to 548.50, 756.71 and 338.31

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Solution

The fourth proportional to 548.50, 756.71 and 338.31 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.50 : 756.71 = 338.31 : x
  2. Step 2: Convert to fraction form
    548.50/756.71 = 338.31/x
  3. Step 3: Cross multiply
    548.50x = 756.71 × 338.31
  4. Step 4: Simplify right side
    548.50x = 256,003.19
  5. Step 5: Solve for x
    x = 256,003.19/548.50
  6. Step 6: Final answer
    x = 466.74

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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.