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Finding the Fourth Proportional to 231.26, 320.73 and 228.52

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Solution

The fourth proportional to 231.26, 320.73 and 228.52 is: 316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.26 : 320.73 = 228.52 : x
  2. Step 2: Convert to fraction form
    231.26/320.73 = 228.52/x
  3. Step 3: Cross multiply
    231.26x = 320.73 × 228.52
  4. Step 4: Simplify right side
    231.26x = 73,294.69
  5. Step 5: Solve for x
    x = 73,294.69/231.26
  6. Step 6: Final answer
    x = 316.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.