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Finding the Fourth Proportional to 345.05, 517.42 and 214.85

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Solution

The fourth proportional to 345.05, 517.42 and 214.85 is: 322.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.05 : 517.42 = 214.85 : x
  2. Step 2: Convert to fraction form
    345.05/517.42 = 214.85/x
  3. Step 3: Cross multiply
    345.05x = 517.42 × 214.85
  4. Step 4: Simplify right side
    345.05x = 111,168.44
  5. Step 5: Solve for x
    x = 111,168.44/345.05
  6. Step 6: Final answer
    x = 322.19

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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.