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Finding the Fourth Proportional to 219.92, 301.48 and 216.00

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Solution

The fourth proportional to 219.92, 301.48 and 216.00 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.92 : 301.48 = 216.00 : x
  2. Step 2: Convert to fraction form
    219.92/301.48 = 216.00/x
  3. Step 3: Cross multiply
    219.92x = 301.48 × 216.00
  4. Step 4: Simplify right side
    219.92x = 65,117.09
  5. Step 5: Solve for x
    x = 65,117.09/219.92
  6. Step 6: Final answer
    x = 296.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.