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Finding the Fourth Proportional to 465.96, 698.94 and 119.30

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Solution

The fourth proportional to 465.96, 698.94 and 119.30 is: 178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.96 : 698.94 = 119.30 : x
  2. Step 2: Convert to fraction form
    465.96/698.94 = 119.30/x
  3. Step 3: Cross multiply
    465.96x = 698.94 × 119.30
  4. Step 4: Simplify right side
    465.96x = 83,380.05
  5. Step 5: Solve for x
    x = 83,380.05/465.96
  6. Step 6: Final answer
    x = 178.94

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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.