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Finding the Fourth Proportional to 395.35, 545.94 and 329.06

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Solution

The fourth proportional to 395.35, 545.94 and 329.06 is: 454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.35 : 545.94 = 329.06 : x
  2. Step 2: Convert to fraction form
    395.35/545.94 = 329.06/x
  3. Step 3: Cross multiply
    395.35x = 545.94 × 329.06
  4. Step 4: Simplify right side
    395.35x = 179,647.02
  5. Step 5: Solve for x
    x = 179,647.02/395.35
  6. Step 6: Final answer
    x = 454.41

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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.