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Finding the Fourth Proportional to 345.74, 517.96 and 191.74

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Solution

The fourth proportional to 345.74, 517.96 and 191.74 is: 287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.74 : 517.96 = 191.74 : x
  2. Step 2: Convert to fraction form
    345.74/517.96 = 191.74/x
  3. Step 3: Cross multiply
    345.74x = 517.96 × 191.74
  4. Step 4: Simplify right side
    345.74x = 99,313.65
  5. Step 5: Solve for x
    x = 99,313.65/345.74
  6. Step 6: Final answer
    x = 287.25

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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.