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Finding the Fourth Proportional to 223.34, 307.19 and 197.96

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Solution

The fourth proportional to 223.34, 307.19 and 197.96 is: 272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.34 : 307.19 = 197.96 : x
  2. Step 2: Convert to fraction form
    223.34/307.19 = 197.96/x
  3. Step 3: Cross multiply
    223.34x = 307.19 × 197.96
  4. Step 4: Simplify right side
    223.34x = 60,810.29
  5. Step 5: Solve for x
    x = 60,810.29/223.34
  6. Step 6: Final answer
    x = 272.28

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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.