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Finding the Fourth Proportional to 223.72, 336.78 and 173.00

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Solution

The fourth proportional to 223.72, 336.78 and 173.00 is: 260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.72 : 336.78 = 173.00 : x
  2. Step 2: Convert to fraction form
    223.72/336.78 = 173.00/x
  3. Step 3: Cross multiply
    223.72x = 336.78 × 173.00
  4. Step 4: Simplify right side
    223.72x = 58,263.78
  5. Step 5: Solve for x
    x = 58,263.78/223.72
  6. Step 6: Final answer
    x = 260.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.