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Finding the Fourth Proportional to 548.88, 757.04 and 352.24

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Solution

The fourth proportional to 548.88, 757.04 and 352.24 is: 485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 757.04 = 352.24 : x
  2. Step 2: Convert to fraction form
    548.88/757.04 = 352.24/x
  3. Step 3: Cross multiply
    548.88x = 757.04 × 352.24
  4. Step 4: Simplify right side
    548.88x = 266,659.77
  5. Step 5: Solve for x
    x = 266,659.77/548.88
  6. Step 6: Final answer
    x = 485.83

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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.