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Finding the Fourth Proportional to 223.40, 307.44 and 198.56

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Solution

The fourth proportional to 223.40, 307.44 and 198.56 is: 273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.40 : 307.44 = 198.56 : x
  2. Step 2: Convert to fraction form
    223.40/307.44 = 198.56/x
  3. Step 3: Cross multiply
    223.40x = 307.44 × 198.56
  4. Step 4: Simplify right side
    223.40x = 61,045.29
  5. Step 5: Solve for x
    x = 61,045.29/223.40
  6. Step 6: Final answer
    x = 273.26

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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.