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Finding the Fourth Proportional to 546.36, 753.81 and 310.29

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Solution

The fourth proportional to 546.36, 753.81 and 310.29 is: 428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 753.81 = 310.29 : x
  2. Step 2: Convert to fraction form
    546.36/753.81 = 310.29/x
  3. Step 3: Cross multiply
    546.36x = 753.81 × 310.29
  4. Step 4: Simplify right side
    546.36x = 233,899.70
  5. Step 5: Solve for x
    x = 233,899.70/546.36
  6. Step 6: Final answer
    x = 428.11

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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.