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Finding the Fourth Proportional to 393.60, 590.40 and 119.69

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Solution

The fourth proportional to 393.60, 590.40 and 119.69 is: 179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.60 : 590.40 = 119.69 : x
  2. Step 2: Convert to fraction form
    393.60/590.40 = 119.69/x
  3. Step 3: Cross multiply
    393.60x = 590.40 × 119.69
  4. Step 4: Simplify right side
    393.60x = 70,662.47
  5. Step 5: Solve for x
    x = 70,662.47/393.60
  6. Step 6: Final answer
    x = 179.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.