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Finding the Fourth Proportional to 539.84, 810.12 and 266.12

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Solution

The fourth proportional to 539.84, 810.12 and 266.12 is: 399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.84 : 810.12 = 266.12 : x
  2. Step 2: Convert to fraction form
    539.84/810.12 = 266.12/x
  3. Step 3: Cross multiply
    539.84x = 810.12 × 266.12
  4. Step 4: Simplify right side
    539.84x = 215,589.13
  5. Step 5: Solve for x
    x = 215,589.13/539.84
  6. Step 6: Final answer
    x = 399.36

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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.