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Finding the Fourth Proportional to 465.78, 698.70 and 191.88

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Solution

The fourth proportional to 465.78, 698.70 and 191.88 is: 287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 698.70 = 191.88 : x
  2. Step 2: Convert to fraction form
    465.78/698.70 = 191.88/x
  3. Step 3: Cross multiply
    465.78x = 698.70 × 191.88
  4. Step 4: Simplify right side
    465.78x = 134,066.56
  5. Step 5: Solve for x
    x = 134,066.56/465.78
  6. Step 6: Final answer
    x = 287.83

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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.