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Finding the Fourth Proportional to 546.38, 754.00 and 310.33

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Solution

The fourth proportional to 546.38, 754.00 and 310.33 is: 428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.38 : 754.00 = 310.33 : x
  2. Step 2: Convert to fraction form
    546.38/754.00 = 310.33/x
  3. Step 3: Cross multiply
    546.38x = 754.00 × 310.33
  4. Step 4: Simplify right side
    546.38x = 233,987.27
  5. Step 5: Solve for x
    x = 233,987.27/546.38
  6. Step 6: Final answer
    x = 428.25

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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.