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Finding the Fourth Proportional to 271.72, 405.11 and 264.76

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Solution

The fourth proportional to 271.72, 405.11 and 264.76 is: 394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.72 : 405.11 = 264.76 : x
  2. Step 2: Convert to fraction form
    271.72/405.11 = 264.76/x
  3. Step 3: Cross multiply
    271.72x = 405.11 × 264.76
  4. Step 4: Simplify right side
    271.72x = 107,256.92
  5. Step 5: Solve for x
    x = 107,256.92/271.72
  6. Step 6: Final answer
    x = 394.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.