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Finding the Fourth Proportional to 212.96, 319.44 and 104.76

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Solution

The fourth proportional to 212.96, 319.44 and 104.76 is: 157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 319.44 = 104.76 : x
  2. Step 2: Convert to fraction form
    212.96/319.44 = 104.76/x
  3. Step 3: Cross multiply
    212.96x = 319.44 × 104.76
  4. Step 4: Simplify right side
    212.96x = 33,464.93
  5. Step 5: Solve for x
    x = 33,464.93/212.96
  6. Step 6: Final answer
    x = 157.14

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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.