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Finding the Fourth Proportional to 540.53, 810.49 and 266.75

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Solution

The fourth proportional to 540.53, 810.49 and 266.75 is: 399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.53 : 810.49 = 266.75 : x
  2. Step 2: Convert to fraction form
    540.53/810.49 = 266.75/x
  3. Step 3: Cross multiply
    540.53x = 810.49 × 266.75
  4. Step 4: Simplify right side
    540.53x = 216,198.21
  5. Step 5: Solve for x
    x = 216,198.21/540.53
  6. Step 6: Final answer
    x = 399.97

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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.