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Finding the Fourth Proportional to 143.85, 198.69 and 107.17

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Solution

The fourth proportional to 143.85, 198.69 and 107.17 is: 148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.85 : 198.69 = 107.17 : x
  2. Step 2: Convert to fraction form
    143.85/198.69 = 107.17/x
  3. Step 3: Cross multiply
    143.85x = 198.69 × 107.17
  4. Step 4: Simplify right side
    143.85x = 21,292.08
  5. Step 5: Solve for x
    x = 21,292.08/143.85
  6. Step 6: Final answer
    x = 148.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.