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Finding the Fourth Proportional to 223.29, 307.76 and 168.01

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Solution

The fourth proportional to 223.29, 307.76 and 168.01 is: 231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.29 : 307.76 = 168.01 : x
  2. Step 2: Convert to fraction form
    223.29/307.76 = 168.01/x
  3. Step 3: Cross multiply
    223.29x = 307.76 × 168.01
  4. Step 4: Simplify right side
    223.29x = 51,705.15
  5. Step 5: Solve for x
    x = 51,705.15/223.29
  6. Step 6: Final answer
    x = 231.56

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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.