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Finding the Fourth Proportional to 465.87, 698.90 and 141.22

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Solution

The fourth proportional to 465.87, 698.90 and 141.22 is: 211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.87 : 698.90 = 141.22 : x
  2. Step 2: Convert to fraction form
    465.87/698.90 = 141.22/x
  3. Step 3: Cross multiply
    465.87x = 698.90 × 141.22
  4. Step 4: Simplify right side
    465.87x = 98,698.66
  5. Step 5: Solve for x
    x = 98,698.66/465.87
  6. Step 6: Final answer
    x = 211.86

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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.