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Finding the Fourth Proportional to 310.43, 428.54 and 248.19

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Solution

The fourth proportional to 310.43, 428.54 and 248.19 is: 342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.43 : 428.54 = 248.19 : x
  2. Step 2: Convert to fraction form
    310.43/428.54 = 248.19/x
  3. Step 3: Cross multiply
    310.43x = 428.54 × 248.19
  4. Step 4: Simplify right side
    310.43x = 106,358.10
  5. Step 5: Solve for x
    x = 106,358.10/310.43
  6. Step 6: Final answer
    x = 342.62

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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.