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Finding the Fourth Proportional to 548.88, 757.68 and 339.24

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Solution

The fourth proportional to 548.88, 757.68 and 339.24 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 757.68 = 339.24 : x
  2. Step 2: Convert to fraction form
    548.88/757.68 = 339.24/x
  3. Step 3: Cross multiply
    548.88x = 757.68 × 339.24
  4. Step 4: Simplify right side
    548.88x = 257,035.36
  5. Step 5: Solve for x
    x = 257,035.36/548.88
  6. Step 6: Final answer
    x = 468.29

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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.