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Finding the Fourth Proportional to 393.54, 541.89 and 310.38

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Solution

The fourth proportional to 393.54, 541.89 and 310.38 is: 427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.54 : 541.89 = 310.38 : x
  2. Step 2: Convert to fraction form
    393.54/541.89 = 310.38/x
  3. Step 3: Cross multiply
    393.54x = 541.89 × 310.38
  4. Step 4: Simplify right side
    393.54x = 168,191.82
  5. Step 5: Solve for x
    x = 168,191.82/393.54
  6. Step 6: Final answer
    x = 427.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.