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Finding the Fourth Proportional to 231.90, 319.77 and 229.56

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Solution

The fourth proportional to 231.90, 319.77 and 229.56 is: 316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.90 : 319.77 = 229.56 : x
  2. Step 2: Convert to fraction form
    231.90/319.77 = 229.56/x
  3. Step 3: Cross multiply
    231.90x = 319.77 × 229.56
  4. Step 4: Simplify right side
    231.90x = 73,406.40
  5. Step 5: Solve for x
    x = 73,406.40/231.90
  6. Step 6: Final answer
    x = 316.54

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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.