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Finding the Fourth Proportional to 393.18, 541.35 and 334.05

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Solution

The fourth proportional to 393.18, 541.35 and 334.05 is: 459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.18 : 541.35 = 334.05 : x
  2. Step 2: Convert to fraction form
    393.18/541.35 = 334.05/x
  3. Step 3: Cross multiply
    393.18x = 541.35 × 334.05
  4. Step 4: Simplify right side
    393.18x = 180,837.97
  5. Step 5: Solve for x
    x = 180,837.97/393.18
  6. Step 6: Final answer
    x = 459.94

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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.