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Finding the Fourth Proportional to 224.28, 334.40 and 190.24

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Solution

The fourth proportional to 224.28, 334.40 and 190.24 is: 283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 334.40 = 190.24 : x
  2. Step 2: Convert to fraction form
    224.28/334.40 = 190.24/x
  3. Step 3: Cross multiply
    224.28x = 334.40 × 190.24
  4. Step 4: Simplify right side
    224.28x = 63,616.26
  5. Step 5: Solve for x
    x = 63,616.26/224.28
  6. Step 6: Final answer
    x = 283.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.