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Finding the Fourth Proportional to 164.24, 225.68 and 162.56

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Solution

The fourth proportional to 164.24, 225.68 and 162.56 is: 223.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.24 : 225.68 = 162.56 : x
  2. Step 2: Convert to fraction form
    164.24/225.68 = 162.56/x
  3. Step 3: Cross multiply
    164.24x = 225.68 × 162.56
  4. Step 4: Simplify right side
    164.24x = 36,686.54
  5. Step 5: Solve for x
    x = 36,686.54/164.24
  6. Step 6: Final answer
    x = 223.37

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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.