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Finding the Fourth Proportional to 331.08, 456.69 and 261.02

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Solution

The fourth proportional to 331.08, 456.69 and 261.02 is: 360.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.08 : 456.69 = 261.02 : x
  2. Step 2: Convert to fraction form
    331.08/456.69 = 261.02/x
  3. Step 3: Cross multiply
    331.08x = 456.69 × 261.02
  4. Step 4: Simplify right side
    331.08x = 119,202.94
  5. Step 5: Solve for x
    x = 119,202.94/331.08
  6. Step 6: Final answer
    x = 360.04

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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.