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Finding the Fourth Proportional to 394.26, 591.14 and 150.53

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Solution

The fourth proportional to 394.26, 591.14 and 150.53 is: 225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.26 : 591.14 = 150.53 : x
  2. Step 2: Convert to fraction form
    394.26/591.14 = 150.53/x
  3. Step 3: Cross multiply
    394.26x = 591.14 × 150.53
  4. Step 4: Simplify right side
    394.26x = 88,980.60
  5. Step 5: Solve for x
    x = 88,980.60/394.26
  6. Step 6: Final answer
    x = 225.69

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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.