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Finding the Fourth Proportional to 386.89, 582.44 and 353.41

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Solution

The fourth proportional to 386.89, 582.44 and 353.41 is: 532.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.89 : 582.44 = 353.41 : x
  2. Step 2: Convert to fraction form
    386.89/582.44 = 353.41/x
  3. Step 3: Cross multiply
    386.89x = 582.44 × 353.41
  4. Step 4: Simplify right side
    386.89x = 205,840.12
  5. Step 5: Solve for x
    x = 205,840.12/386.89
  6. Step 6: Final answer
    x = 532.04

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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.