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Finding the Fourth Proportional to 536.63, 804.74 and 189.90

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Solution

The fourth proportional to 536.63, 804.74 and 189.90 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.63 : 804.74 = 189.90 : x
  2. Step 2: Convert to fraction form
    536.63/804.74 = 189.90/x
  3. Step 3: Cross multiply
    536.63x = 804.74 × 189.90
  4. Step 4: Simplify right side
    536.63x = 152,819.89
  5. Step 5: Solve for x
    x = 152,819.89/536.63
  6. Step 6: Final answer
    x = 284.78

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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.