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Finding the Fourth Proportional to 271.46, 408.81 and 253.24

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Solution

The fourth proportional to 271.46, 408.81 and 253.24 is: 381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.46 : 408.81 = 253.24 : x
  2. Step 2: Convert to fraction form
    271.46/408.81 = 253.24/x
  3. Step 3: Cross multiply
    271.46x = 408.81 × 253.24
  4. Step 4: Simplify right side
    271.46x = 103,525.39
  5. Step 5: Solve for x
    x = 103,525.39/271.46
  6. Step 6: Final answer
    x = 381.36

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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.