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Finding the Fourth Proportional to 363.82, 545.03 and 290.84

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Solution

The fourth proportional to 363.82, 545.03 and 290.84 is: 435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.82 : 545.03 = 290.84 : x
  2. Step 2: Convert to fraction form
    363.82/545.03 = 290.84/x
  3. Step 3: Cross multiply
    363.82x = 545.03 × 290.84
  4. Step 4: Simplify right side
    363.82x = 158,516.53
  5. Step 5: Solve for x
    x = 158,516.53/363.82
  6. Step 6: Final answer
    x = 435.70

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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.