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Finding the Fourth Proportional to 363.15, 545.01 and 189.86

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Solution

The fourth proportional to 363.15, 545.01 and 189.86 is: 284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.15 : 545.01 = 189.86 : x
  2. Step 2: Convert to fraction form
    363.15/545.01 = 189.86/x
  3. Step 3: Cross multiply
    363.15x = 545.01 × 189.86
  4. Step 4: Simplify right side
    363.15x = 103,474.65
  5. Step 5: Solve for x
    x = 103,474.65/363.15
  6. Step 6: Final answer
    x = 284.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.