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Finding the Fourth Proportional to 223.52, 307.98 and 216

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Solution

The fourth proportional to 223.52, 307.98 and 216 is: 297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.52 : 307.98 = 216 : x
  2. Step 2: Convert to fraction form
    223.52/307.98 = 216/x
  3. Step 3: Cross multiply
    223.52x = 307.98 × 216
  4. Step 4: Simplify right side
    223.52x = 66,523.68
  5. Step 5: Solve for x
    x = 66,523.68/223.52
  6. Step 6: Final answer
    x = 297.63

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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.