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Finding the Fourth Proportional to 465.84, 698.55 and 191.85

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Solution

The fourth proportional to 465.84, 698.55 and 191.85 is: 287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 698.55 = 191.85 : x
  2. Step 2: Convert to fraction form
    465.84/698.55 = 191.85/x
  3. Step 3: Cross multiply
    465.84x = 698.55 × 191.85
  4. Step 4: Simplify right side
    465.84x = 134,016.82
  5. Step 5: Solve for x
    x = 134,016.82/465.84
  6. Step 6: Final answer
    x = 287.69

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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.