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Finding the Fourth Proportional to 216.05, 298.03 and 186.66

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Solution

The fourth proportional to 216.05, 298.03 and 186.66 is: 257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.05 : 298.03 = 186.66 : x
  2. Step 2: Convert to fraction form
    216.05/298.03 = 186.66/x
  3. Step 3: Cross multiply
    216.05x = 298.03 × 186.66
  4. Step 4: Simplify right side
    216.05x = 55,630.28
  5. Step 5: Solve for x
    x = 55,630.28/216.05
  6. Step 6: Final answer
    x = 257.49

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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.