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Finding the Fourth Proportional to 271.90, 406.24 and 269.47

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Solution

The fourth proportional to 271.90, 406.24 and 269.47 is: 402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.90 : 406.24 = 269.47 : x
  2. Step 2: Convert to fraction form
    271.90/406.24 = 269.47/x
  3. Step 3: Cross multiply
    271.90x = 406.24 × 269.47
  4. Step 4: Simplify right side
    271.90x = 109,466.11
  5. Step 5: Solve for x
    x = 109,466.11/271.90
  6. Step 6: Final answer
    x = 402.60

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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.