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Finding the Fourth Proportional to 394.00, 590.59 and 188.14

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Solution

The fourth proportional to 394.00, 590.59 and 188.14 is: 282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.00 : 590.59 = 188.14 : x
  2. Step 2: Convert to fraction form
    394.00/590.59 = 188.14/x
  3. Step 3: Cross multiply
    394.00x = 590.59 × 188.14
  4. Step 4: Simplify right side
    394.00x = 111,110.68
  5. Step 5: Solve for x
    x = 111,110.68/394.00
  6. Step 6: Final answer
    x = 282.01

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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.