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Finding the Fourth Proportional to 536.44, 804.50 and 189.71

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Solution

The fourth proportional to 536.44, 804.50 and 189.71 is: 284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 804.50 = 189.71 : x
  2. Step 2: Convert to fraction form
    536.44/804.50 = 189.71/x
  3. Step 3: Cross multiply
    536.44x = 804.50 × 189.71
  4. Step 4: Simplify right side
    536.44x = 152,621.70
  5. Step 5: Solve for x
    x = 152,621.70/536.44
  6. Step 6: Final answer
    x = 284.51

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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.