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Finding the Fourth Proportional to 212.62, 293.31 and 143.50

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Solution

The fourth proportional to 212.62, 293.31 and 143.50 is: 197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.62 : 293.31 = 143.50 : x
  2. Step 2: Convert to fraction form
    212.62/293.31 = 143.50/x
  3. Step 3: Cross multiply
    212.62x = 293.31 × 143.50
  4. Step 4: Simplify right side
    212.62x = 42,089.99
  5. Step 5: Solve for x
    x = 42,089.99/212.62
  6. Step 6: Final answer
    x = 197.96

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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.