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Finding the Fourth Proportional to 271.49, 404.66 and 256.12

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Solution

The fourth proportional to 271.49, 404.66 and 256.12 is: 381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.49 : 404.66 = 256.12 : x
  2. Step 2: Convert to fraction form
    271.49/404.66 = 256.12/x
  3. Step 3: Cross multiply
    271.49x = 404.66 × 256.12
  4. Step 4: Simplify right side
    271.49x = 103,639.23
  5. Step 5: Solve for x
    x = 103,639.23/271.49
  6. Step 6: Final answer
    x = 381.74

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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.