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Finding the Fourth Proportional to 300.55, 414.73 and 167.77

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Solution

The fourth proportional to 300.55, 414.73 and 167.77 is: 231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.55 : 414.73 = 167.77 : x
  2. Step 2: Convert to fraction form
    300.55/414.73 = 167.77/x
  3. Step 3: Cross multiply
    300.55x = 414.73 × 167.77
  4. Step 4: Simplify right side
    300.55x = 69,579.25
  5. Step 5: Solve for x
    x = 69,579.25/300.55
  6. Step 6: Final answer
    x = 231.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.