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Finding the Fourth Proportional to 274.62, 374.16 and 268.68

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Solution

The fourth proportional to 274.62, 374.16 and 268.68 is: 366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.62 : 374.16 = 268.68 : x
  2. Step 2: Convert to fraction form
    274.62/374.16 = 268.68/x
  3. Step 3: Cross multiply
    274.62x = 374.16 × 268.68
  4. Step 4: Simplify right side
    274.62x = 100,529.31
  5. Step 5: Solve for x
    x = 100,529.31/274.62
  6. Step 6: Final answer
    x = 366.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.