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Finding the Fourth Proportional to 394.13, 590.84 and 188.49

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Solution

The fourth proportional to 394.13, 590.84 and 188.49 is: 282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.13 : 590.84 = 188.49 : x
  2. Step 2: Convert to fraction form
    394.13/590.84 = 188.49/x
  3. Step 3: Cross multiply
    394.13x = 590.84 × 188.49
  4. Step 4: Simplify right side
    394.13x = 111,367.43
  5. Step 5: Solve for x
    x = 111,367.43/394.13
  6. Step 6: Final answer
    x = 282.57

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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.