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Finding the Fourth Proportional to 212.75, 319.13 and 75.76

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Solution

The fourth proportional to 212.75, 319.13 and 75.76 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.75 : 319.13 = 75.76 : x
  2. Step 2: Convert to fraction form
    212.75/319.13 = 75.76/x
  3. Step 3: Cross multiply
    212.75x = 319.13 × 75.76
  4. Step 4: Simplify right side
    212.75x = 24,177.19
  5. Step 5: Solve for x
    x = 24,177.19/212.75
  6. Step 6: Final answer
    x = 113.64

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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.