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Finding the Fourth Proportional to 536.11, 804.38 and 211.70

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Solution

The fourth proportional to 536.11, 804.38 and 211.70 is: 317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.11 : 804.38 = 211.70 : x
  2. Step 2: Convert to fraction form
    536.11/804.38 = 211.70/x
  3. Step 3: Cross multiply
    536.11x = 804.38 × 211.70
  4. Step 4: Simplify right side
    536.11x = 170,288.20
  5. Step 5: Solve for x
    x = 170,288.20/536.11
  6. Step 6: Final answer
    x = 317.64

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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.