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Finding the Fourth Proportional to 394.49, 545.57 and 345.27

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Solution

The fourth proportional to 394.49, 545.57 and 345.27 is: 477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.49 : 545.57 = 345.27 : x
  2. Step 2: Convert to fraction form
    394.49/545.57 = 345.27/x
  3. Step 3: Cross multiply
    394.49x = 545.57 × 345.27
  4. Step 4: Simplify right side
    394.49x = 188,367.23
  5. Step 5: Solve for x
    x = 188,367.23/394.49
  6. Step 6: Final answer
    x = 477.50

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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.