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Finding the Fourth Proportional to 271.80, 408.17 and 148.34

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Solution

The fourth proportional to 271.80, 408.17 and 148.34 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.80 : 408.17 = 148.34 : x
  2. Step 2: Convert to fraction form
    271.80/408.17 = 148.34/x
  3. Step 3: Cross multiply
    271.80x = 408.17 × 148.34
  4. Step 4: Simplify right side
    271.80x = 60,549.33
  5. Step 5: Solve for x
    x = 60,549.33/271.80
  6. Step 6: Final answer
    x = 222.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.