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Finding the Fourth Proportional to 386.62, 579.54 and 193.84

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Solution

The fourth proportional to 386.62, 579.54 and 193.84 is: 290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.62 : 579.54 = 193.84 : x
  2. Step 2: Convert to fraction form
    386.62/579.54 = 193.84/x
  3. Step 3: Cross multiply
    386.62x = 579.54 × 193.84
  4. Step 4: Simplify right side
    386.62x = 112,338.03
  5. Step 5: Solve for x
    x = 112,338.03/386.62
  6. Step 6: Final answer
    x = 290.56

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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.