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Finding the Fourth Proportional to 331.30, 456.72 and 206.89

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Solution

The fourth proportional to 331.30, 456.72 and 206.89 is: 285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.30 : 456.72 = 206.89 : x
  2. Step 2: Convert to fraction form
    331.30/456.72 = 206.89/x
  3. Step 3: Cross multiply
    331.30x = 456.72 × 206.89
  4. Step 4: Simplify right side
    331.30x = 94,490.80
  5. Step 5: Solve for x
    x = 94,490.80/331.30
  6. Step 6: Final answer
    x = 285.21

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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.