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Finding the Fourth Proportional to 212.88, 319.27 and 151.83

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Solution

The fourth proportional to 212.88, 319.27 and 151.83 is: 227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 319.27 = 151.83 : x
  2. Step 2: Convert to fraction form
    212.88/319.27 = 151.83/x
  3. Step 3: Cross multiply
    212.88x = 319.27 × 151.83
  4. Step 4: Simplify right side
    212.88x = 48,474.76
  5. Step 5: Solve for x
    x = 48,474.76/212.88
  6. Step 6: Final answer
    x = 227.71

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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.