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Finding the Fourth Proportional to 164.16, 226.40 and 120.48

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Solution

The fourth proportional to 164.16, 226.40 and 120.48 is: 166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.16 : 226.40 = 120.48 : x
  2. Step 2: Convert to fraction form
    164.16/226.40 = 120.48/x
  3. Step 3: Cross multiply
    164.16x = 226.40 × 120.48
  4. Step 4: Simplify right side
    164.16x = 27,276.67
  5. Step 5: Solve for x
    x = 27,276.67/164.16
  6. Step 6: Final answer
    x = 166.16

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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.