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Finding the Fourth Proportional to 447.02, 670.46 and 173.24

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Solution

The fourth proportional to 447.02, 670.46 and 173.24 is: 259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.02 : 670.46 = 173.24 : x
  2. Step 2: Convert to fraction form
    447.02/670.46 = 173.24/x
  3. Step 3: Cross multiply
    447.02x = 670.46 × 173.24
  4. Step 4: Simplify right side
    447.02x = 116,146.27
  5. Step 5: Solve for x
    x = 116,146.27/447.02
  6. Step 6: Final answer
    x = 259.83

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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.