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Finding the Fourth Proportional to 165.23, 226.35 and 159.32

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Solution

The fourth proportional to 165.23, 226.35 and 159.32 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.23 : 226.35 = 159.32 : x
  2. Step 2: Convert to fraction form
    165.23/226.35 = 159.32/x
  3. Step 3: Cross multiply
    165.23x = 226.35 × 159.32
  4. Step 4: Simplify right side
    165.23x = 36,060.95
  5. Step 5: Solve for x
    x = 36,060.95/165.23
  6. Step 6: Final answer
    x = 218.25

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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.