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Finding the Fourth Proportional to 229.76, 345.33 and 224.57

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Solution

The fourth proportional to 229.76, 345.33 and 224.57 is: 337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 345.33 = 224.57 : x
  2. Step 2: Convert to fraction form
    229.76/345.33 = 224.57/x
  3. Step 3: Cross multiply
    229.76x = 345.33 × 224.57
  4. Step 4: Simplify right side
    229.76x = 77,550.76
  5. Step 5: Solve for x
    x = 77,550.76/229.76
  6. Step 6: Final answer
    x = 337.53

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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.