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Finding the Fourth Proportional to 363.25, 545.03 and 157.99

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Solution

The fourth proportional to 363.25, 545.03 and 157.99 is: 237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.25 : 545.03 = 157.99 : x
  2. Step 2: Convert to fraction form
    363.25/545.03 = 157.99/x
  3. Step 3: Cross multiply
    363.25x = 545.03 × 157.99
  4. Step 4: Simplify right side
    363.25x = 86,108.50
  5. Step 5: Solve for x
    x = 86,108.50/363.25
  6. Step 6: Final answer
    x = 237.05

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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.