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Finding the Fourth Proportional to 212.23, 317.85 and 104.05

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Solution

The fourth proportional to 212.23, 317.85 and 104.05 is: 155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.23 : 317.85 = 104.05 : x
  2. Step 2: Convert to fraction form
    212.23/317.85 = 104.05/x
  3. Step 3: Cross multiply
    212.23x = 317.85 × 104.05
  4. Step 4: Simplify right side
    212.23x = 33,072.29
  5. Step 5: Solve for x
    x = 33,072.29/212.23
  6. Step 6: Final answer
    x = 155.83

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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.