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Finding the Fourth Proportional to 299.84, 450.08 and 224.32

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Solution

The fourth proportional to 299.84, 450.08 and 224.32 is: 336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.84 : 450.08 = 224.32 : x
  2. Step 2: Convert to fraction form
    299.84/450.08 = 224.32/x
  3. Step 3: Cross multiply
    299.84x = 450.08 × 224.32
  4. Step 4: Simplify right side
    299.84x = 100,961.95
  5. Step 5: Solve for x
    x = 100,961.95/299.84
  6. Step 6: Final answer
    x = 336.72

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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.