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Finding the Fourth Proportional to 212.06, 318.02 and 75.11

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Solution

The fourth proportional to 212.06, 318.02 and 75.11 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.06 : 318.02 = 75.11 : x
  2. Step 2: Convert to fraction form
    212.06/318.02 = 75.11/x
  3. Step 3: Cross multiply
    212.06x = 318.02 × 75.11
  4. Step 4: Simplify right side
    212.06x = 23,885.08
  5. Step 5: Solve for x
    x = 23,885.08/212.06
  6. Step 6: Final answer
    x = 112.63

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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.