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Finding the Fourth Proportional to 223.44, 307.61 and 194.32

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Solution

The fourth proportional to 223.44, 307.61 and 194.32 is: 267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.44 : 307.61 = 194.32 : x
  2. Step 2: Convert to fraction form
    223.44/307.61 = 194.32/x
  3. Step 3: Cross multiply
    223.44x = 307.61 × 194.32
  4. Step 4: Simplify right side
    223.44x = 59,773.24
  5. Step 5: Solve for x
    x = 59,773.24/223.44
  6. Step 6: Final answer
    x = 267.51

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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.