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Finding the Fourth Proportional to 536.22, 804.70 and 211.65

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Solution

The fourth proportional to 536.22, 804.70 and 211.65 is: 317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.22 : 804.70 = 211.65 : x
  2. Step 2: Convert to fraction form
    536.22/804.70 = 211.65/x
  3. Step 3: Cross multiply
    536.22x = 804.70 × 211.65
  4. Step 4: Simplify right side
    536.22x = 170,312.00
  5. Step 5: Solve for x
    x = 170,312.00/536.22
  6. Step 6: Final answer
    x = 317.62

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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.