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Finding the Fourth Proportional to 331.30, 497.22 and 177.33

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Solution

The fourth proportional to 331.30, 497.22 and 177.33 is: 266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.30 : 497.22 = 177.33 : x
  2. Step 2: Convert to fraction form
    331.30/497.22 = 177.33/x
  3. Step 3: Cross multiply
    331.30x = 497.22 × 177.33
  4. Step 4: Simplify right side
    331.30x = 88,172.02
  5. Step 5: Solve for x
    x = 88,172.02/331.30
  6. Step 6: Final answer
    x = 266.14

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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.