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Finding the Fourth Proportional to 394.43, 541.46 and 339.07

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Solution

The fourth proportional to 394.43, 541.46 and 339.07 is: 465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.43 : 541.46 = 339.07 : x
  2. Step 2: Convert to fraction form
    394.43/541.46 = 339.07/x
  3. Step 3: Cross multiply
    394.43x = 541.46 × 339.07
  4. Step 4: Simplify right side
    394.43x = 183,592.84
  5. Step 5: Solve for x
    x = 183,592.84/394.43
  6. Step 6: Final answer
    x = 465.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.