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Finding the Fourth Proportional to 143.88, 214.86 and 132.72

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Solution

The fourth proportional to 143.88, 214.86 and 132.72 is: 198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.88 : 214.86 = 132.72 : x
  2. Step 2: Convert to fraction form
    143.88/214.86 = 132.72/x
  3. Step 3: Cross multiply
    143.88x = 214.86 × 132.72
  4. Step 4: Simplify right side
    143.88x = 28,516.22
  5. Step 5: Solve for x
    x = 28,516.22/143.88
  6. Step 6: Final answer
    x = 198.19

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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.