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Finding the Fourth Proportional to 143.84, 214.52 and 132.03

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Solution

The fourth proportional to 143.84, 214.52 and 132.03 is: 196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.84 : 214.52 = 132.03 : x
  2. Step 2: Convert to fraction form
    143.84/214.52 = 132.03/x
  3. Step 3: Cross multiply
    143.84x = 214.52 × 132.03
  4. Step 4: Simplify right side
    143.84x = 28,322.42
  5. Step 5: Solve for x
    x = 28,322.42/143.84
  6. Step 6: Final answer
    x = 196.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.