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Finding the Fourth Proportional to 369.21, 553.82 and 224.64

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Solution

The fourth proportional to 369.21, 553.82 and 224.64 is: 336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.21 : 553.82 = 224.64 : x
  2. Step 2: Convert to fraction form
    369.21/553.82 = 224.64/x
  3. Step 3: Cross multiply
    369.21x = 553.82 × 224.64
  4. Step 4: Simplify right side
    369.21x = 124,409.00
  5. Step 5: Solve for x
    x = 124,409.00/369.21
  6. Step 6: Final answer
    x = 336.96

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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.