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Finding the Fourth Proportional to 394.21, 591.40 and 150.74

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Solution

The fourth proportional to 394.21, 591.40 and 150.74 is: 226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.21 : 591.40 = 150.74 : x
  2. Step 2: Convert to fraction form
    394.21/591.40 = 150.74/x
  3. Step 3: Cross multiply
    394.21x = 591.40 × 150.74
  4. Step 4: Simplify right side
    394.21x = 89,144.30
  5. Step 5: Solve for x
    x = 89,144.30/394.21
  6. Step 6: Final answer
    x = 226.14

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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.