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Finding the Fourth Proportional to 219.74, 301.08 and 216.85

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Solution

The fourth proportional to 219.74, 301.08 and 216.85 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.74 : 301.08 = 216.85 : x
  2. Step 2: Convert to fraction form
    219.74/301.08 = 216.85/x
  3. Step 3: Cross multiply
    219.74x = 301.08 × 216.85
  4. Step 4: Simplify right side
    219.74x = 65,289.20
  5. Step 5: Solve for x
    x = 65,289.20/219.74
  6. Step 6: Final answer
    x = 297.12

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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.