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Finding the Fourth Proportional to 212.09, 318.26 and 75.20

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Solution

The fourth proportional to 212.09, 318.26 and 75.20 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.09 : 318.26 = 75.20 : x
  2. Step 2: Convert to fraction form
    212.09/318.26 = 75.20/x
  3. Step 3: Cross multiply
    212.09x = 318.26 × 75.20
  4. Step 4: Simplify right side
    212.09x = 23,931.75
  5. Step 5: Solve for x
    x = 23,931.75/212.09
  6. Step 6: Final answer
    x = 112.84

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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.