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Finding the Fourth Proportional to 386.13, 577.80 and 239.97

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Solution

The fourth proportional to 386.13, 577.80 and 239.97 is: 359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.13 : 577.80 = 239.97 : x
  2. Step 2: Convert to fraction form
    386.13/577.80 = 239.97/x
  3. Step 3: Cross multiply
    386.13x = 577.80 × 239.97
  4. Step 4: Simplify right side
    386.13x = 138,654.67
  5. Step 5: Solve for x
    x = 138,654.67/386.13
  6. Step 6: Final answer
    x = 359.09

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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.