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Finding the Fourth Proportional to 271.32, 404.45 and 255.64

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Solution

The fourth proportional to 271.32, 404.45 and 255.64 is: 381.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.32 : 404.45 = 255.64 : x
  2. Step 2: Convert to fraction form
    271.32/404.45 = 255.64/x
  3. Step 3: Cross multiply
    271.32x = 404.45 × 255.64
  4. Step 4: Simplify right side
    271.32x = 103,393.60
  5. Step 5: Solve for x
    x = 103,393.60/271.32
  6. Step 6: Final answer
    x = 381.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.