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Finding the Fourth Proportional to 395.30, 546 and 333.34

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Solution

The fourth proportional to 395.30, 546 and 333.34 is: 460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.30 : 546 = 333.34 : x
  2. Step 2: Convert to fraction form
    395.30/546 = 333.34/x
  3. Step 3: Cross multiply
    395.30x = 546 × 333.34
  4. Step 4: Simplify right side
    395.30x = 182,003.64
  5. Step 5: Solve for x
    x = 182,003.64/395.30
  6. Step 6: Final answer
    x = 460.42

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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.