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Finding the Fourth Proportional to 164.28, 248.16 and 162.96

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Solution

The fourth proportional to 164.28, 248.16 and 162.96 is: 246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.28 : 248.16 = 162.96 : x
  2. Step 2: Convert to fraction form
    164.28/248.16 = 162.96/x
  3. Step 3: Cross multiply
    164.28x = 248.16 × 162.96
  4. Step 4: Simplify right side
    164.28x = 40,440.15
  5. Step 5: Solve for x
    x = 40,440.15/164.28
  6. Step 6: Final answer
    x = 246.17

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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.