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Finding the Fourth Proportional to 224.42, 334.90 and 191.90

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Solution

The fourth proportional to 224.42, 334.90 and 191.90 is: 286.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.42 : 334.90 = 191.90 : x
  2. Step 2: Convert to fraction form
    224.42/334.90 = 191.90/x
  3. Step 3: Cross multiply
    224.42x = 334.90 × 191.90
  4. Step 4: Simplify right side
    224.42x = 64,267.31
  5. Step 5: Solve for x
    x = 64,267.31/224.42
  6. Step 6: Final answer
    x = 286.37

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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.