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Finding the Fourth Proportional to 605.16, 906.85 and 271.21

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Solution

The fourth proportional to 605.16, 906.85 and 271.21 is: 406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 906.85 = 271.21 : x
  2. Step 2: Convert to fraction form
    605.16/906.85 = 271.21/x
  3. Step 3: Cross multiply
    605.16x = 906.85 × 271.21
  4. Step 4: Simplify right side
    605.16x = 245,946.79
  5. Step 5: Solve for x
    x = 245,946.79/605.16
  6. Step 6: Final answer
    x = 406.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.