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Finding the Fourth Proportional to 271.24, 371.93 and 256.12

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Solution

The fourth proportional to 271.24, 371.93 and 256.12 is: 351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.24 : 371.93 = 256.12 : x
  2. Step 2: Convert to fraction form
    271.24/371.93 = 256.12/x
  3. Step 3: Cross multiply
    271.24x = 371.93 × 256.12
  4. Step 4: Simplify right side
    271.24x = 95,258.71
  5. Step 5: Solve for x
    x = 95,258.71/271.24
  6. Step 6: Final answer
    x = 351.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.