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Finding the Fourth Proportional to 379.49, 523.69 and 248.50

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Solution

The fourth proportional to 379.49, 523.69 and 248.50 is: 342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.49 : 523.69 = 248.50 : x
  2. Step 2: Convert to fraction form
    379.49/523.69 = 248.50/x
  3. Step 3: Cross multiply
    379.49x = 523.69 × 248.50
  4. Step 4: Simplify right side
    379.49x = 130,133.10
  5. Step 5: Solve for x
    x = 130,133.10/379.49
  6. Step 6: Final answer
    x = 342.92

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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.