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Finding the Fourth Proportional to 223.70, 307.62 and 199.10

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Solution

The fourth proportional to 223.70, 307.62 and 199.10 is: 273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.70 : 307.62 = 199.10 : x
  2. Step 2: Convert to fraction form
    223.70/307.62 = 199.10/x
  3. Step 3: Cross multiply
    223.70x = 307.62 × 199.10
  4. Step 4: Simplify right side
    223.70x = 61,247.14
  5. Step 5: Solve for x
    x = 61,247.14/223.70
  6. Step 6: Final answer
    x = 273.79

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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.