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Finding the Fourth Proportional to 310.47, 428.19 and 263.97

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Solution

The fourth proportional to 310.47, 428.19 and 263.97 is: 364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.47 : 428.19 = 263.97 : x
  2. Step 2: Convert to fraction form
    310.47/428.19 = 263.97/x
  3. Step 3: Cross multiply
    310.47x = 428.19 × 263.97
  4. Step 4: Simplify right side
    310.47x = 113,029.31
  5. Step 5: Solve for x
    x = 113,029.31/310.47
  6. Step 6: Final answer
    x = 364.06

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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.