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Finding the Fourth Proportional to 379.85, 524.34 and 247.12

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Solution

The fourth proportional to 379.85, 524.34 and 247.12 is: 341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.85 : 524.34 = 247.12 : x
  2. Step 2: Convert to fraction form
    379.85/524.34 = 247.12/x
  3. Step 3: Cross multiply
    379.85x = 524.34 × 247.12
  4. Step 4: Simplify right side
    379.85x = 129,573.59
  5. Step 5: Solve for x
    x = 129,573.59/379.85
  6. Step 6: Final answer
    x = 341.12

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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.