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Finding the Fourth Proportional to 212, 318.18 and 130.91

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Solution

The fourth proportional to 212, 318.18 and 130.91 is: 196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212 : 318.18 = 130.91 : x
  2. Step 2: Convert to fraction form
    212/318.18 = 130.91/x
  3. Step 3: Cross multiply
    212x = 318.18 × 130.91
  4. Step 4: Simplify right side
    212x = 41,652.94
  5. Step 5: Solve for x
    x = 41,652.94/212
  6. Step 6: Final answer
    x = 196.48

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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.