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Finding the Fourth Proportional to 345.05, 516.66 and 222.94

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Solution

The fourth proportional to 345.05, 516.66 and 222.94 is: 333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.05 : 516.66 = 222.94 : x
  2. Step 2: Convert to fraction form
    345.05/516.66 = 222.94/x
  3. Step 3: Cross multiply
    345.05x = 516.66 × 222.94
  4. Step 4: Simplify right side
    345.05x = 115,184.18
  5. Step 5: Solve for x
    x = 115,184.18/345.05
  6. Step 6: Final answer
    x = 333.82

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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.