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Finding the Fourth Proportional to 386.84, 582.37 and 352.82

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Solution

The fourth proportional to 386.84, 582.37 and 352.82 is: 531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.84 : 582.37 = 352.82 : x
  2. Step 2: Convert to fraction form
    386.84/582.37 = 352.82/x
  3. Step 3: Cross multiply
    386.84x = 582.37 × 352.82
  4. Step 4: Simplify right side
    386.84x = 205,468.56
  5. Step 5: Solve for x
    x = 205,468.56/386.84
  6. Step 6: Final answer
    x = 531.15

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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.