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Finding the Fourth Proportional to 168.30, 236.10 and 168.30

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Solution

The fourth proportional to 168.30, 236.10 and 168.30 is: 236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.30 : 236.10 = 168.30 : x
  2. Step 2: Convert to fraction form
    168.30/236.10 = 168.30/x
  3. Step 3: Cross multiply
    168.30x = 236.10 × 168.30
  4. Step 4: Simplify right side
    168.30x = 39,735.63
  5. Step 5: Solve for x
    x = 39,735.63/168.30
  6. Step 6: Final answer
    x = 236.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.