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Finding the Fourth Proportional to 216.52, 298.72 and 164.05

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Solution

The fourth proportional to 216.52, 298.72 and 164.05 is: 226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.52 : 298.72 = 164.05 : x
  2. Step 2: Convert to fraction form
    216.52/298.72 = 164.05/x
  3. Step 3: Cross multiply
    216.52x = 298.72 × 164.05
  4. Step 4: Simplify right side
    216.52x = 49,005.02
  5. Step 5: Solve for x
    x = 49,005.02/216.52
  6. Step 6: Final answer
    x = 226.33

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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.