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Finding the Fourth Proportional to 541.01, 810.49 and 266.78

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Solution

The fourth proportional to 541.01, 810.49 and 266.78 is: 399.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.01 : 810.49 = 266.78 : x
  2. Step 2: Convert to fraction form
    541.01/810.49 = 266.78/x
  3. Step 3: Cross multiply
    541.01x = 810.49 × 266.78
  4. Step 4: Simplify right side
    541.01x = 216,217.80
  5. Step 5: Solve for x
    x = 216,217.80/541.01
  6. Step 6: Final answer
    x = 399.66

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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.