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Finding the Fourth Proportional to 143.01, 197.26 and 106.27

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Solution

The fourth proportional to 143.01, 197.26 and 106.27 is: 146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.01 : 197.26 = 106.27 : x
  2. Step 2: Convert to fraction form
    143.01/197.26 = 106.27/x
  3. Step 3: Cross multiply
    143.01x = 197.26 × 106.27
  4. Step 4: Simplify right side
    143.01x = 20,962.06
  5. Step 5: Solve for x
    x = 20,962.06/143.01
  6. Step 6: Final answer
    x = 146.58

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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.