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Finding the Fourth Proportional to 548.67, 757.21 and 338.98

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Solution

The fourth proportional to 548.67, 757.21 and 338.98 is: 467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.67 : 757.21 = 338.98 : x
  2. Step 2: Convert to fraction form
    548.67/757.21 = 338.98/x
  3. Step 3: Cross multiply
    548.67x = 757.21 × 338.98
  4. Step 4: Simplify right side
    548.67x = 256,679.05
  5. Step 5: Solve for x
    x = 256,679.05/548.67
  6. Step 6: Final answer
    x = 467.82

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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.