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Finding the Fourth Proportional to 219.86, 303.18 and 164.51

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Solution

The fourth proportional to 219.86, 303.18 and 164.51 is: 226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.86 : 303.18 = 164.51 : x
  2. Step 2: Convert to fraction form
    219.86/303.18 = 164.51/x
  3. Step 3: Cross multiply
    219.86x = 303.18 × 164.51
  4. Step 4: Simplify right side
    219.86x = 49,876.14
  5. Step 5: Solve for x
    x = 49,876.14/219.86
  6. Step 6: Final answer
    x = 226.85

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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.