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Finding the Fourth Proportional to 219.29, 298.67 and 218.61

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Solution

The fourth proportional to 219.29, 298.67 and 218.61 is: 297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.29 : 298.67 = 218.61 : x
  2. Step 2: Convert to fraction form
    219.29/298.67 = 218.61/x
  3. Step 3: Cross multiply
    219.29x = 298.67 × 218.61
  4. Step 4: Simplify right side
    219.29x = 65,291.16
  5. Step 5: Solve for x
    x = 65,291.16/219.29
  6. Step 6: Final answer
    x = 297.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.