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Finding the Fourth Proportional to 418.60, 628.16 and 236.12

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Solution

The fourth proportional to 418.60, 628.16 and 236.12 is: 354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.60 : 628.16 = 236.12 : x
  2. Step 2: Convert to fraction form
    418.60/628.16 = 236.12/x
  3. Step 3: Cross multiply
    418.60x = 628.16 × 236.12
  4. Step 4: Simplify right side
    418.60x = 148,321.14
  5. Step 5: Solve for x
    x = 148,321.14/418.60
  6. Step 6: Final answer
    x = 354.33

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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.