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Finding the Fourth Proportional to 363.80, 492.75 and 363.80

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Solution

The fourth proportional to 363.80, 492.75 and 363.80 is: 492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.80 : 492.75 = 363.80 : x
  2. Step 2: Convert to fraction form
    363.80/492.75 = 363.80/x
  3. Step 3: Cross multiply
    363.80x = 492.75 × 363.80
  4. Step 4: Simplify right side
    363.80x = 179,262.45
  5. Step 5: Solve for x
    x = 179,262.45/363.80
  6. Step 6: Final answer
    x = 492.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.