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Finding the Fourth Proportional to 540.90, 810.28 and 281.07

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Solution

The fourth proportional to 540.90, 810.28 and 281.07 is: 421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.90 : 810.28 = 281.07 : x
  2. Step 2: Convert to fraction form
    540.90/810.28 = 281.07/x
  3. Step 3: Cross multiply
    540.90x = 810.28 × 281.07
  4. Step 4: Simplify right side
    540.90x = 227,745.40
  5. Step 5: Solve for x
    x = 227,745.40/540.90
  6. Step 6: Final answer
    x = 421.05

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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.