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Finding the Fourth Proportional to 165.36, 226.62 and 154.32

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Solution

The fourth proportional to 165.36, 226.62 and 154.32 is: 211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.36 : 226.62 = 154.32 : x
  2. Step 2: Convert to fraction form
    165.36/226.62 = 154.32/x
  3. Step 3: Cross multiply
    165.36x = 226.62 × 154.32
  4. Step 4: Simplify right side
    165.36x = 34,972.00
  5. Step 5: Solve for x
    x = 34,972.00/165.36
  6. Step 6: Final answer
    x = 211.49

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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.