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Finding the Fourth Proportional to 553.98, 831.24 and 229.62

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Solution

The fourth proportional to 553.98, 831.24 and 229.62 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.98 : 831.24 = 229.62 : x
  2. Step 2: Convert to fraction form
    553.98/831.24 = 229.62/x
  3. Step 3: Cross multiply
    553.98x = 831.24 × 229.62
  4. Step 4: Simplify right side
    553.98x = 190,869.33
  5. Step 5: Solve for x
    x = 190,869.33/553.98
  6. Step 6: Final answer
    x = 344.54

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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.