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Finding the Fourth Proportional to 546.72, 754.20 and 350.09

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Solution

The fourth proportional to 546.72, 754.20 and 350.09 is: 482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.72 : 754.20 = 350.09 : x
  2. Step 2: Convert to fraction form
    546.72/754.20 = 350.09/x
  3. Step 3: Cross multiply
    546.72x = 754.20 × 350.09
  4. Step 4: Simplify right side
    546.72x = 264,034.11
  5. Step 5: Solve for x
    x = 264,034.11/546.72
  6. Step 6: Final answer
    x = 482.94

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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.