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Finding the Fourth Proportional to 216.23, 298.37 and 186.77

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Solution

The fourth proportional to 216.23, 298.37 and 186.77 is: 257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.23 : 298.37 = 186.77 : x
  2. Step 2: Convert to fraction form
    216.23/298.37 = 186.77/x
  3. Step 3: Cross multiply
    216.23x = 298.37 × 186.77
  4. Step 4: Simplify right side
    216.23x = 55,724.14
  5. Step 5: Solve for x
    x = 55,724.14/216.23
  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.