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Finding the Fourth Proportional to 231.70, 320.00 and 179.87

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Solution

The fourth proportional to 231.70, 320.00 and 179.87 is: 248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.70 : 320.00 = 179.87 : x
  2. Step 2: Convert to fraction form
    231.70/320.00 = 179.87/x
  3. Step 3: Cross multiply
    231.70x = 320.00 × 179.87
  4. Step 4: Simplify right side
    231.70x = 57,558.85
  5. Step 5: Solve for x
    x = 57,558.85/231.70
  6. Step 6: Final answer
    x = 248.42

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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.