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Finding the Fourth Proportional to 439.89, 659.81 and 115.24

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Solution

The fourth proportional to 439.89, 659.81 and 115.24 is: 172.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.89 : 659.81 = 115.24 : x
  2. Step 2: Convert to fraction form
    439.89/659.81 = 115.24/x
  3. Step 3: Cross multiply
    439.89x = 659.81 × 115.24
  4. Step 4: Simplify right side
    439.89x = 76,036.50
  5. Step 5: Solve for x
    x = 76,036.50/439.89
  6. Step 6: Final answer
    x = 172.85

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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.