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Finding the Fourth Proportional to 379.41, 523.24 and 253.15

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Solution

The fourth proportional to 379.41, 523.24 and 253.15 is: 349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.41 : 523.24 = 253.15 : x
  2. Step 2: Convert to fraction form
    379.41/523.24 = 253.15/x
  3. Step 3: Cross multiply
    379.41x = 523.24 × 253.15
  4. Step 4: Simplify right side
    379.41x = 132,458.23
  5. Step 5: Solve for x
    x = 132,458.23/379.41
  6. Step 6: Final answer
    x = 349.12

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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.