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Finding the Fourth Proportional to 386.20, 579.80 and 384.44

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Solution

The fourth proportional to 386.20, 579.80 and 384.44 is: 577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.20 : 579.80 = 384.44 : x
  2. Step 2: Convert to fraction form
    386.20/579.80 = 384.44/x
  3. Step 3: Cross multiply
    386.20x = 579.80 × 384.44
  4. Step 4: Simplify right side
    386.20x = 222,898.31
  5. Step 5: Solve for x
    x = 222,898.31/386.20
  6. Step 6: Final answer
    x = 577.16

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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.