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Finding the Fourth Proportional to 233.92, 324.28 and 224.80

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Solution

The fourth proportional to 233.92, 324.28 and 224.80 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.92 : 324.28 = 224.80 : x
  2. Step 2: Convert to fraction form
    233.92/324.28 = 224.80/x
  3. Step 3: Cross multiply
    233.92x = 324.28 × 224.80
  4. Step 4: Simplify right side
    233.92x = 72,898.14
  5. Step 5: Solve for x
    x = 72,898.14/233.92
  6. Step 6: Final answer
    x = 311.64

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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.