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Finding the Fourth Proportional to 143.42, 214.08 and 133.12

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Solution

The fourth proportional to 143.42, 214.08 and 133.12 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.42 : 214.08 = 133.12 : x
  2. Step 2: Convert to fraction form
    143.42/214.08 = 133.12/x
  3. Step 3: Cross multiply
    143.42x = 214.08 × 133.12
  4. Step 4: Simplify right side
    143.42x = 28,498.33
  5. Step 5: Solve for x
    x = 28,498.33/143.42
  6. Step 6: Final answer
    x = 198.71

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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.