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Finding the Fourth Proportional to 386.96, 580.12 and 155.78

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Solution

The fourth proportional to 386.96, 580.12 and 155.78 is: 233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.96 : 580.12 = 155.78 : x
  2. Step 2: Convert to fraction form
    386.96/580.12 = 155.78/x
  3. Step 3: Cross multiply
    386.96x = 580.12 × 155.78
  4. Step 4: Simplify right side
    386.96x = 90,370.31
  5. Step 5: Solve for x
    x = 90,370.31/386.96
  6. Step 6: Final answer
    x = 233.54

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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.