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Finding the Fourth Proportional to 394.87, 591.70 and 151.27

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Solution

The fourth proportional to 394.87, 591.70 and 151.27 is: 226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.87 : 591.70 = 151.27 : x
  2. Step 2: Convert to fraction form
    394.87/591.70 = 151.27/x
  3. Step 3: Cross multiply
    394.87x = 591.70 × 151.27
  4. Step 4: Simplify right side
    394.87x = 89,506.46
  5. Step 5: Solve for x
    x = 89,506.46/394.87
  6. Step 6: Final answer
    x = 226.67

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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.