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Finding the Fourth Proportional to 546.96, 755.13 and 350.80

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Solution

The fourth proportional to 546.96, 755.13 and 350.80 is: 484.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.96 : 755.13 = 350.80 : x
  2. Step 2: Convert to fraction form
    546.96/755.13 = 350.80/x
  3. Step 3: Cross multiply
    546.96x = 755.13 × 350.80
  4. Step 4: Simplify right side
    546.96x = 264,899.60
  5. Step 5: Solve for x
    x = 264,899.60/546.96
  6. Step 6: Final answer
    x = 484.31

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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.