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Finding the Fourth Proportional to 143.57, 198.09 and 85.34

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Solution

The fourth proportional to 143.57, 198.09 and 85.34 is: 117.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.57 : 198.09 = 85.34 : x
  2. Step 2: Convert to fraction form
    143.57/198.09 = 85.34/x
  3. Step 3: Cross multiply
    143.57x = 198.09 × 85.34
  4. Step 4: Simplify right side
    143.57x = 16,904.01
  5. Step 5: Solve for x
    x = 16,904.01/143.57
  6. Step 6: Final answer
    x = 117.74

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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.