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Finding the Fourth Proportional to 271.62, 410.54 and 271.62

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Solution

The fourth proportional to 271.62, 410.54 and 271.62 is: 410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.62 : 410.54 = 271.62 : x
  2. Step 2: Convert to fraction form
    271.62/410.54 = 271.62/x
  3. Step 3: Cross multiply
    271.62x = 410.54 × 271.62
  4. Step 4: Simplify right side
    271.62x = 111,509.52
  5. Step 5: Solve for x
    x = 111,509.52/271.62
  6. Step 6: Final answer
    x = 410.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.