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Finding the Fourth Proportional to 210.83, 290.07 and 185.83

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Solution

The fourth proportional to 210.83, 290.07 and 185.83 is: 255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.83 : 290.07 = 185.83 : x
  2. Step 2: Convert to fraction form
    210.83/290.07 = 185.83/x
  3. Step 3: Cross multiply
    210.83x = 290.07 × 185.83
  4. Step 4: Simplify right side
    210.83x = 53,902.98
  5. Step 5: Solve for x
    x = 53,902.98/210.83
  6. Step 6: Final answer
    x = 255.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.