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Finding the Fourth Proportional to 271.62, 404.85 and 256.25

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Solution

The fourth proportional to 271.62, 404.85 and 256.25 is: 381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.62 : 404.85 = 256.25 : x
  2. Step 2: Convert to fraction form
    271.62/404.85 = 256.25/x
  3. Step 3: Cross multiply
    271.62x = 404.85 × 256.25
  4. Step 4: Simplify right side
    271.62x = 103,739.51
  5. Step 5: Solve for x
    x = 103,739.51/271.62
  6. Step 6: Final answer
    x = 381.93

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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.