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Finding the Fourth Proportional to 271.84, 409.78 and 256.18

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Solution

The fourth proportional to 271.84, 409.78 and 256.18 is: 386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.84 : 409.78 = 256.18 : x
  2. Step 2: Convert to fraction form
    271.84/409.78 = 256.18/x
  3. Step 3: Cross multiply
    271.84x = 409.78 × 256.18
  4. Step 4: Simplify right side
    271.84x = 104,977.44
  5. Step 5: Solve for x
    x = 104,977.44/271.84
  6. Step 6: Final answer
    x = 386.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.