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Finding the Fourth Proportional to 548.80, 757.24 and 374.16

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Solution

The fourth proportional to 548.80, 757.24 and 374.16 is: 516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 757.24 = 374.16 : x
  2. Step 2: Convert to fraction form
    548.80/757.24 = 374.16/x
  3. Step 3: Cross multiply
    548.80x = 757.24 × 374.16
  4. Step 4: Simplify right side
    548.80x = 283,328.92
  5. Step 5: Solve for x
    x = 283,328.92/548.80
  6. Step 6: Final answer
    x = 516.27

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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.