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Finding the Fourth Proportional to 412.06, 617.53 and 238.62

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Solution

The fourth proportional to 412.06, 617.53 and 238.62 is: 357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.06 : 617.53 = 238.62 : x
  2. Step 2: Convert to fraction form
    412.06/617.53 = 238.62/x
  3. Step 3: Cross multiply
    412.06x = 617.53 × 238.62
  4. Step 4: Simplify right side
    412.06x = 147,355.01
  5. Step 5: Solve for x
    x = 147,355.01/412.06
  6. Step 6: Final answer
    x = 357.61

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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.