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Finding the Fourth Proportional to 536.85, 804.74 and 189.97

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Solution

The fourth proportional to 536.85, 804.74 and 189.97 is: 284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.85 : 804.74 = 189.97 : x
  2. Step 2: Convert to fraction form
    536.85/804.74 = 189.97/x
  3. Step 3: Cross multiply
    536.85x = 804.74 × 189.97
  4. Step 4: Simplify right side
    536.85x = 152,873.50
  5. Step 5: Solve for x
    x = 152,873.50/536.85
  6. Step 6: Final answer
    x = 284.76

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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.