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Finding the Fourth Proportional to 298.58, 412.22 and 186.66

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Solution

The fourth proportional to 298.58, 412.22 and 186.66 is: 257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.58 : 412.22 = 186.66 : x
  2. Step 2: Convert to fraction form
    298.58/412.22 = 186.66/x
  3. Step 3: Cross multiply
    298.58x = 412.22 × 186.66
  4. Step 4: Simplify right side
    298.58x = 76,945.45
  5. Step 5: Solve for x
    x = 76,945.45/298.58
  6. Step 6: Final answer
    x = 257.71

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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.