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Finding the Fourth Proportional to 331.27, 497.27 and 209.60

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Solution

The fourth proportional to 331.27, 497.27 and 209.60 is: 314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.27 : 497.27 = 209.60 : x
  2. Step 2: Convert to fraction form
    331.27/497.27 = 209.60/x
  3. Step 3: Cross multiply
    331.27x = 497.27 × 209.60
  4. Step 4: Simplify right side
    331.27x = 104,224.26
  5. Step 5: Solve for x
    x = 104,224.26/331.27
  6. Step 6: Final answer
    x = 314.63

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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.