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Finding the Fourth Proportional to 389.12, 582.56 and 381.52

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Solution

The fourth proportional to 389.12, 582.56 and 381.52 is: 571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.12 : 582.56 = 381.52 : x
  2. Step 2: Convert to fraction form
    389.12/582.56 = 381.52/x
  3. Step 3: Cross multiply
    389.12x = 582.56 × 381.52
  4. Step 4: Simplify right side
    389.12x = 222,258.29
  5. Step 5: Solve for x
    x = 222,258.29/389.12
  6. Step 6: Final answer
    x = 571.18

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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.