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Finding the Fourth Proportional to 271.26, 404.12 and 258.20

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Solution

The fourth proportional to 271.26, 404.12 and 258.20 is: 384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.26 : 404.12 = 258.20 : x
  2. Step 2: Convert to fraction form
    271.26/404.12 = 258.20/x
  3. Step 3: Cross multiply
    271.26x = 404.12 × 258.20
  4. Step 4: Simplify right side
    271.26x = 104,342.49
  5. Step 5: Solve for x
    x = 104,342.49/271.26
  6. Step 6: Final answer
    x = 384.66

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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.