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Finding the Fourth Proportional to 212.69, 318.85 and 97.09

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Solution

The fourth proportional to 212.69, 318.85 and 97.09 is: 145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.69 : 318.85 = 97.09 : x
  2. Step 2: Convert to fraction form
    212.69/318.85 = 97.09/x
  3. Step 3: Cross multiply
    212.69x = 318.85 × 97.09
  4. Step 4: Simplify right side
    212.69x = 30,958.45
  5. Step 5: Solve for x
    x = 30,958.45/212.69
  6. Step 6: Final answer
    x = 145.56

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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.