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Finding the Fourth Proportional to 271.92, 377.88 and 268.47

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Solution

The fourth proportional to 271.92, 377.88 and 268.47 is: 373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.92 : 377.88 = 268.47 : x
  2. Step 2: Convert to fraction form
    271.92/377.88 = 268.47/x
  3. Step 3: Cross multiply
    271.92x = 377.88 × 268.47
  4. Step 4: Simplify right side
    271.92x = 101,449.44
  5. Step 5: Solve for x
    x = 101,449.44/271.92
  6. Step 6: Final answer
    x = 373.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.