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Finding the Fourth Proportional to 548.80, 757.20 and 312.76

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Solution

The fourth proportional to 548.80, 757.20 and 312.76 is: 431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.80 : 757.20 = 312.76 : x
  2. Step 2: Convert to fraction form
    548.80/757.20 = 312.76/x
  3. Step 3: Cross multiply
    548.80x = 757.20 × 312.76
  4. Step 4: Simplify right side
    548.80x = 236,818.09
  5. Step 5: Solve for x
    x = 236,818.09/548.80
  6. Step 6: Final answer
    x = 431.52

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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.