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Finding the Fourth Proportional to 279.29, 383.22 and 274.43

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Solution

The fourth proportional to 279.29, 383.22 and 274.43 is: 376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.29 : 383.22 = 274.43 : x
  2. Step 2: Convert to fraction form
    279.29/383.22 = 274.43/x
  3. Step 3: Cross multiply
    279.29x = 383.22 × 274.43
  4. Step 4: Simplify right side
    279.29x = 105,168.02
  5. Step 5: Solve for x
    x = 105,168.02/279.29
  6. Step 6: Final answer
    x = 376.55

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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.