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Finding the Fourth Proportional to 271.68, 405.51 and 269.40

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Solution

The fourth proportional to 271.68, 405.51 and 269.40 is: 402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.68 : 405.51 = 269.40 : x
  2. Step 2: Convert to fraction form
    271.68/405.51 = 269.40/x
  3. Step 3: Cross multiply
    271.68x = 405.51 × 269.40
  4. Step 4: Simplify right side
    271.68x = 109,244.39
  5. Step 5: Solve for x
    x = 109,244.39/271.68
  6. Step 6: Final answer
    x = 402.11

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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.