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Finding the Fourth Proportional to 394.03, 590.53 and 188.67

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Solution

The fourth proportional to 394.03, 590.53 and 188.67 is: 282.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.03 : 590.53 = 188.67 : x
  2. Step 2: Convert to fraction form
    394.03/590.53 = 188.67/x
  3. Step 3: Cross multiply
    394.03x = 590.53 × 188.67
  4. Step 4: Simplify right side
    394.03x = 111,415.30
  5. Step 5: Solve for x
    x = 111,415.30/394.03
  6. Step 6: Final answer
    x = 282.76

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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.