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Finding the Fourth Proportional to 386.33, 579.72 and 180.78

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Solution

The fourth proportional to 386.33, 579.72 and 180.78 is: 271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.33 : 579.72 = 180.78 : x
  2. Step 2: Convert to fraction form
    386.33/579.72 = 180.78/x
  3. Step 3: Cross multiply
    386.33x = 579.72 × 180.78
  4. Step 4: Simplify right side
    386.33x = 104,801.78
  5. Step 5: Solve for x
    x = 104,801.78/386.33
  6. Step 6: Final answer
    x = 271.28

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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.