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Finding the Fourth Proportional to 540.20, 810.22 and 193.80

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Solution

The fourth proportional to 540.20, 810.22 and 193.80 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.20 : 810.22 = 193.80 : x
  2. Step 2: Convert to fraction form
    540.20/810.22 = 193.80/x
  3. Step 3: Cross multiply
    540.20x = 810.22 × 193.80
  4. Step 4: Simplify right side
    540.20x = 157,020.64
  5. Step 5: Solve for x
    x = 157,020.64/540.20
  6. Step 6: Final answer
    x = 290.67

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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.