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Finding the Fourth Proportional to 219.10, 326.96 and 188.68

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Solution

The fourth proportional to 219.10, 326.96 and 188.68 is: 281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.10 : 326.96 = 188.68 : x
  2. Step 2: Convert to fraction form
    219.10/326.96 = 188.68/x
  3. Step 3: Cross multiply
    219.10x = 326.96 × 188.68
  4. Step 4: Simplify right side
    219.10x = 61,690.81
  5. Step 5: Solve for x
    x = 61,690.81/219.10
  6. Step 6: Final answer
    x = 281.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.