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Finding the Fourth Proportional to 553.49, 830.19 and 224.33

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Solution

The fourth proportional to 553.49, 830.19 and 224.33 is: 336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.49 : 830.19 = 224.33 : x
  2. Step 2: Convert to fraction form
    553.49/830.19 = 224.33/x
  3. Step 3: Cross multiply
    553.49x = 830.19 × 224.33
  4. Step 4: Simplify right side
    553.49x = 186,232.37
  5. Step 5: Solve for x
    x = 186,232.37/553.49
  6. Step 6: Final answer
    x = 336.47

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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.