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Finding the Fourth Proportional to 312.68, 468.27 and 190.67

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Solution

The fourth proportional to 312.68, 468.27 and 190.67 is: 285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.68 : 468.27 = 190.67 : x
  2. Step 2: Convert to fraction form
    312.68/468.27 = 190.67/x
  3. Step 3: Cross multiply
    312.68x = 468.27 × 190.67
  4. Step 4: Simplify right side
    312.68x = 89,285.04
  5. Step 5: Solve for x
    x = 89,285.04/312.68
  6. Step 6: Final answer
    x = 285.55

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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.