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Finding the Fourth Proportional to 222.79, 334.06 and 68.69

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Solution

The fourth proportional to 222.79, 334.06 and 68.69 is: 102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.79 : 334.06 = 68.69 : x
  2. Step 2: Convert to fraction form
    222.79/334.06 = 68.69/x
  3. Step 3: Cross multiply
    222.79x = 334.06 × 68.69
  4. Step 4: Simplify right side
    222.79x = 22,945.19
  5. Step 5: Solve for x
    x = 22,945.19/222.79
  6. Step 6: Final answer
    x = 102.99

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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.