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Finding the Fourth Proportional to 331.07, 456.89 and 181.70

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Solution

The fourth proportional to 331.07, 456.89 and 181.70 is: 250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.07 : 456.89 = 181.70 : x
  2. Step 2: Convert to fraction form
    331.07/456.89 = 181.70/x
  3. Step 3: Cross multiply
    331.07x = 456.89 × 181.70
  4. Step 4: Simplify right side
    331.07x = 83,013.72
  5. Step 5: Solve for x
    x = 83,013.72/331.07
  6. Step 6: Final answer
    x = 250.74

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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.