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Finding the Fourth Proportional to 386.52, 582.18 and 353.22

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Solution

The fourth proportional to 386.52, 582.18 and 353.22 is: 532.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.52 : 582.18 = 353.22 : x
  2. Step 2: Convert to fraction form
    386.52/582.18 = 353.22/x
  3. Step 3: Cross multiply
    386.52x = 582.18 × 353.22
  4. Step 4: Simplify right side
    386.52x = 205,637.62
  5. Step 5: Solve for x
    x = 205,637.62/386.52
  6. Step 6: Final answer
    x = 532.02

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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.