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Finding the Fourth Proportional to 271.71, 405.18 and 269.28

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Solution

The fourth proportional to 271.71, 405.18 and 269.28 is: 401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.71 : 405.18 = 269.28 : x
  2. Step 2: Convert to fraction form
    271.71/405.18 = 269.28/x
  3. Step 3: Cross multiply
    271.71x = 405.18 × 269.28
  4. Step 4: Simplify right side
    271.71x = 109,106.87
  5. Step 5: Solve for x
    x = 109,106.87/271.71
  6. Step 6: Final answer
    x = 401.56

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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.