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Finding the Fourth Proportional to 388.03, 582.85 and 327.28

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Solution

The fourth proportional to 388.03, 582.85 and 327.28 is: 491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.03 : 582.85 = 327.28 : x
  2. Step 2: Convert to fraction form
    388.03/582.85 = 327.28/x
  3. Step 3: Cross multiply
    388.03x = 582.85 × 327.28
  4. Step 4: Simplify right side
    388.03x = 190,752.23
  5. Step 5: Solve for x
    x = 190,752.23/388.03
  6. Step 6: Final answer
    x = 491.60

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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.