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Finding the Fourth Proportional to 382.16, 573.06 and 150.96

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Solution

The fourth proportional to 382.16, 573.06 and 150.96 is: 226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 573.06 = 150.96 : x
  2. Step 2: Convert to fraction form
    382.16/573.06 = 150.96/x
  3. Step 3: Cross multiply
    382.16x = 573.06 × 150.96
  4. Step 4: Simplify right side
    382.16x = 86,509.14
  5. Step 5: Solve for x
    x = 86,509.14/382.16
  6. Step 6: Final answer
    x = 226.37

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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.