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Finding the Fourth Proportional to 386.22, 579.22 and 155.02

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Solution

The fourth proportional to 386.22, 579.22 and 155.02 is: 232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.22 : 579.22 = 155.02 : x
  2. Step 2: Convert to fraction form
    386.22/579.22 = 155.02/x
  3. Step 3: Cross multiply
    386.22x = 579.22 × 155.02
  4. Step 4: Simplify right side
    386.22x = 89,790.68
  5. Step 5: Solve for x
    x = 89,790.68/386.22
  6. Step 6: Final answer
    x = 232.49

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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.