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Finding the Fourth Proportional to 395.37, 545.86 and 353.85

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Solution

The fourth proportional to 395.37, 545.86 and 353.85 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.37 : 545.86 = 353.85 : x
  2. Step 2: Convert to fraction form
    395.37/545.86 = 353.85/x
  3. Step 3: Cross multiply
    395.37x = 545.86 × 353.85
  4. Step 4: Simplify right side
    395.37x = 193,153.21
  5. Step 5: Solve for x
    x = 193,153.21/395.37
  6. Step 6: Final answer
    x = 488.54

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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.