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Finding the Fourth Proportional to 279.69, 385.67 and 238.19

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Solution

The fourth proportional to 279.69, 385.67 and 238.19 is: 328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.69 : 385.67 = 238.19 : x
  2. Step 2: Convert to fraction form
    279.69/385.67 = 238.19/x
  3. Step 3: Cross multiply
    279.69x = 385.67 × 238.19
  4. Step 4: Simplify right side
    279.69x = 91,859.62
  5. Step 5: Solve for x
    x = 91,859.62/279.69
  6. Step 6: Final answer
    x = 328.43

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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.