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Finding the Fourth Proportional to 164.40, 226.88 and 112.02

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Solution

The fourth proportional to 164.40, 226.88 and 112.02 is: 154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.40 : 226.88 = 112.02 : x
  2. Step 2: Convert to fraction form
    164.40/226.88 = 112.02/x
  3. Step 3: Cross multiply
    164.40x = 226.88 × 112.02
  4. Step 4: Simplify right side
    164.40x = 25,415.10
  5. Step 5: Solve for x
    x = 25,415.10/164.40
  6. Step 6: Final answer
    x = 154.59

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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.