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Finding the Fourth Proportional to 164.56, 248.26 and 153.64

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Solution

The fourth proportional to 164.56, 248.26 and 153.64 is: 231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.56 : 248.26 = 153.64 : x
  2. Step 2: Convert to fraction form
    164.56/248.26 = 153.64/x
  3. Step 3: Cross multiply
    164.56x = 248.26 × 153.64
  4. Step 4: Simplify right side
    164.56x = 38,142.67
  5. Step 5: Solve for x
    x = 38,142.67/164.56
  6. Step 6: Final answer
    x = 231.79

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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.