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Finding the Fourth Proportional to 540.22, 810.40 and 280.34

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Solution

The fourth proportional to 540.22, 810.40 and 280.34 is: 420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.22 : 810.40 = 280.34 : x
  2. Step 2: Convert to fraction form
    540.22/810.40 = 280.34/x
  3. Step 3: Cross multiply
    540.22x = 810.40 × 280.34
  4. Step 4: Simplify right side
    540.22x = 227,187.54
  5. Step 5: Solve for x
    x = 227,187.54/540.22
  6. Step 6: Final answer
    x = 420.55

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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.