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Finding the Fourth Proportional to 541.22, 809.75 and 310.22

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Solution

The fourth proportional to 541.22, 809.75 and 310.22 is: 464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.22 : 809.75 = 310.22 : x
  2. Step 2: Convert to fraction form
    541.22/809.75 = 310.22/x
  3. Step 3: Cross multiply
    541.22x = 809.75 × 310.22
  4. Step 4: Simplify right side
    541.22x = 251,195.05
  5. Step 5: Solve for x
    x = 251,195.05/541.22
  6. Step 6: Final answer
    x = 464.13

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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.