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Finding the Fourth Proportional to 331.59, 456.72 and 329.77

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Solution

The fourth proportional to 331.59, 456.72 and 329.77 is: 454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.59 : 456.72 = 329.77 : x
  2. Step 2: Convert to fraction form
    331.59/456.72 = 329.77/x
  3. Step 3: Cross multiply
    331.59x = 456.72 × 329.77
  4. Step 4: Simplify right side
    331.59x = 150,610.27
  5. Step 5: Solve for x
    x = 150,610.27/331.59
  6. Step 6: Final answer
    x = 454.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.