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Finding the Fourth Proportional to 394.30, 590.78 and 188.82

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Solution

The fourth proportional to 394.30, 590.78 and 188.82 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.30 : 590.78 = 188.82 : x
  2. Step 2: Convert to fraction form
    394.30/590.78 = 188.82/x
  3. Step 3: Cross multiply
    394.30x = 590.78 × 188.82
  4. Step 4: Simplify right side
    394.30x = 111,551.08
  5. Step 5: Solve for x
    x = 111,551.08/394.30
  6. Step 6: Final answer
    x = 282.91

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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.