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Finding the Fourth Proportional to 223.20, 333.50 and 170.84

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Solution

The fourth proportional to 223.20, 333.50 and 170.84 is: 255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 333.50 = 170.84 : x
  2. Step 2: Convert to fraction form
    223.20/333.50 = 170.84/x
  3. Step 3: Cross multiply
    223.20x = 333.50 × 170.84
  4. Step 4: Simplify right side
    223.20x = 56,975.14
  5. Step 5: Solve for x
    x = 56,975.14/223.20
  6. Step 6: Final answer
    x = 255.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.