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Finding the Fourth Proportional to 379.79, 523.24 and 248.57

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Solution

The fourth proportional to 379.79, 523.24 and 248.57 is: 342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.79 : 523.24 = 248.57 : x
  2. Step 2: Convert to fraction form
    379.79/523.24 = 248.57/x
  3. Step 3: Cross multiply
    379.79x = 523.24 × 248.57
  4. Step 4: Simplify right side
    379.79x = 130,061.77
  5. Step 5: Solve for x
    x = 130,061.77/379.79
  6. Step 6: Final answer
    x = 342.46

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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.