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Finding the Fourth Proportional to 271.48, 406.98 and 207.64

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Solution

The fourth proportional to 271.48, 406.98 and 207.64 is: 311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.48 : 406.98 = 207.64 : x
  2. Step 2: Convert to fraction form
    271.48/406.98 = 207.64/x
  3. Step 3: Cross multiply
    271.48x = 406.98 × 207.64
  4. Step 4: Simplify right side
    271.48x = 84,505.33
  5. Step 5: Solve for x
    x = 84,505.33/271.48
  6. Step 6: Final answer
    x = 311.28

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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.