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Finding the Fourth Proportional to 222.79, 334.01 and 134.92

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Solution

The fourth proportional to 222.79, 334.01 and 134.92 is: 202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.79 : 334.01 = 134.92 : x
  2. Step 2: Convert to fraction form
    222.79/334.01 = 134.92/x
  3. Step 3: Cross multiply
    222.79x = 334.01 × 134.92
  4. Step 4: Simplify right side
    222.79x = 45,065.49
  5. Step 5: Solve for x
    x = 45,065.49/222.79
  6. Step 6: Final answer
    x = 202.28

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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.