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Finding the Fourth Proportional to 345.22, 517.40 and 200.62

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Solution

The fourth proportional to 345.22, 517.40 and 200.62 is: 300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.22 : 517.40 = 200.62 : x
  2. Step 2: Convert to fraction form
    345.22/517.40 = 200.62/x
  3. Step 3: Cross multiply
    345.22x = 517.40 × 200.62
  4. Step 4: Simplify right side
    345.22x = 103,800.79
  5. Step 5: Solve for x
    x = 103,800.79/345.22
  6. Step 6: Final answer
    x = 300.68

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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.