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Finding the Fourth Proportional to 386.21, 582.28 and 359.78

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Solution

The fourth proportional to 386.21, 582.28 and 359.78 is: 542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.21 : 582.28 = 359.78 : x
  2. Step 2: Convert to fraction form
    386.21/582.28 = 359.78/x
  3. Step 3: Cross multiply
    386.21x = 582.28 × 359.78
  4. Step 4: Simplify right side
    386.21x = 209,493.25
  5. Step 5: Solve for x
    x = 209,493.25/386.21
  6. Step 6: Final answer
    x = 542.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.