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Finding the Fourth Proportional to 345.31, 517.84 and 139.83

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Solution

The fourth proportional to 345.31, 517.84 and 139.83 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.31 : 517.84 = 139.83 : x
  2. Step 2: Convert to fraction form
    345.31/517.84 = 139.83/x
  3. Step 3: Cross multiply
    345.31x = 517.84 × 139.83
  4. Step 4: Simplify right side
    345.31x = 72,409.57
  5. Step 5: Solve for x
    x = 72,409.57/345.31
  6. Step 6: Final answer
    x = 209.69

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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.