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Finding the Fourth Proportional to 143.53, 198.09 and 85.33

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Solution

The fourth proportional to 143.53, 198.09 and 85.33 is: 117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.53 : 198.09 = 85.33 : x
  2. Step 2: Convert to fraction form
    143.53/198.09 = 85.33/x
  3. Step 3: Cross multiply
    143.53x = 198.09 × 85.33
  4. Step 4: Simplify right side
    143.53x = 16,903.02
  5. Step 5: Solve for x
    x = 16,903.02/143.53
  6. Step 6: Final answer
    x = 117.77

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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.