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Finding the Fourth Proportional to 143.50, 214.96 and 92.02

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Solution

The fourth proportional to 143.50, 214.96 and 92.02 is: 137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.50 : 214.96 = 92.02 : x
  2. Step 2: Convert to fraction form
    143.50/214.96 = 92.02/x
  3. Step 3: Cross multiply
    143.50x = 214.96 × 92.02
  4. Step 4: Simplify right side
    143.50x = 19,780.62
  5. Step 5: Solve for x
    x = 19,780.62/143.50
  6. Step 6: Final answer
    x = 137.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.