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Finding the Fourth Proportional to 312.82, 468.62 and 190.78

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Solution

The fourth proportional to 312.82, 468.62 and 190.78 is: 285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.82 : 468.62 = 190.78 : x
  2. Step 2: Convert to fraction form
    312.82/468.62 = 190.78/x
  3. Step 3: Cross multiply
    312.82x = 468.62 × 190.78
  4. Step 4: Simplify right side
    312.82x = 89,403.32
  5. Step 5: Solve for x
    x = 89,403.32/312.82
  6. Step 6: Final answer
    x = 285.80

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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.