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Finding the Fourth Proportional to 312.46, 469.14 and 190.96

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Solution

The fourth proportional to 312.46, 469.14 and 190.96 is: 286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.46 : 469.14 = 190.96 : x
  2. Step 2: Convert to fraction form
    312.46/469.14 = 190.96/x
  3. Step 3: Cross multiply
    312.46x = 469.14 × 190.96
  4. Step 4: Simplify right side
    312.46x = 89,586.97
  5. Step 5: Solve for x
    x = 89,586.97/312.46
  6. Step 6: Final answer
    x = 286.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.