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Finding the Fourth Proportional to 223.17, 307.83 and 188.43

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Solution

The fourth proportional to 223.17, 307.83 and 188.43 is: 259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.17 : 307.83 = 188.43 : x
  2. Step 2: Convert to fraction form
    223.17/307.83 = 188.43/x
  3. Step 3: Cross multiply
    223.17x = 307.83 × 188.43
  4. Step 4: Simplify right side
    223.17x = 58,004.41
  5. Step 5: Solve for x
    x = 58,004.41/223.17
  6. Step 6: Final answer
    x = 259.91

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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.