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Finding the Fourth Proportional to 143.32, 197.81 and 132.34

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Solution

The fourth proportional to 143.32, 197.81 and 132.34 is: 182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.32 : 197.81 = 132.34 : x
  2. Step 2: Convert to fraction form
    143.32/197.81 = 132.34/x
  3. Step 3: Cross multiply
    143.32x = 197.81 × 132.34
  4. Step 4: Simplify right side
    143.32x = 26,178.18
  5. Step 5: Solve for x
    x = 26,178.18/143.32
  6. Step 6: Final answer
    x = 182.66

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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.