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Finding the Fourth Proportional to 386.24, 579.42 and 177.96

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Solution

The fourth proportional to 386.24, 579.42 and 177.96 is: 266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 579.42 = 177.96 : x
  2. Step 2: Convert to fraction form
    386.24/579.42 = 177.96/x
  3. Step 3: Cross multiply
    386.24x = 579.42 × 177.96
  4. Step 4: Simplify right side
    386.24x = 103,113.58
  5. Step 5: Solve for x
    x = 103,113.58/386.24
  6. Step 6: Final answer
    x = 266.97

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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.