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Finding the Fourth Proportional to 279.14, 382.41 and 268.76

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Solution

The fourth proportional to 279.14, 382.41 and 268.76 is: 368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.14 : 382.41 = 268.76 : x
  2. Step 2: Convert to fraction form
    279.14/382.41 = 268.76/x
  3. Step 3: Cross multiply
    279.14x = 382.41 × 268.76
  4. Step 4: Simplify right side
    279.14x = 102,776.51
  5. Step 5: Solve for x
    x = 102,776.51/279.14
  6. Step 6: Final answer
    x = 368.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.