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Finding the Fourth Proportional to 163, 223.56 and 143.56

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Solution

The fourth proportional to 163, 223.56 and 143.56 is: 196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163 : 223.56 = 143.56 : x
  2. Step 2: Convert to fraction form
    163/223.56 = 143.56/x
  3. Step 3: Cross multiply
    163x = 223.56 × 143.56
  4. Step 4: Simplify right side
    163x = 32,094.27
  5. Step 5: Solve for x
    x = 32,094.27/163
  6. Step 6: Final answer
    x = 196.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.