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Finding the Fourth Proportional to 224.27, 334.80 and 189.64

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Solution

The fourth proportional to 224.27, 334.80 and 189.64 is: 283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.27 : 334.80 = 189.64 : x
  2. Step 2: Convert to fraction form
    224.27/334.80 = 189.64/x
  3. Step 3: Cross multiply
    224.27x = 334.80 × 189.64
  4. Step 4: Simplify right side
    224.27x = 63,491.89
  5. Step 5: Solve for x
    x = 63,491.89/224.27
  6. Step 6: Final answer
    x = 283.11

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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.