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Finding the Fourth Proportional to 540.21, 810.42 and 266.28

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Solution

The fourth proportional to 540.21, 810.42 and 266.28 is: 399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.21 : 810.42 = 266.28 : x
  2. Step 2: Convert to fraction form
    540.21/810.42 = 266.28/x
  3. Step 3: Cross multiply
    540.21x = 810.42 × 266.28
  4. Step 4: Simplify right side
    540.21x = 215,798.64
  5. Step 5: Solve for x
    x = 215,798.64/540.21
  6. Step 6: Final answer
    x = 399.47

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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.