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Finding the Fourth Proportional to 110.84, 164.77 and 109.01

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Solution

The fourth proportional to 110.84, 164.77 and 109.01 is: 162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.84 : 164.77 = 109.01 : x
  2. Step 2: Convert to fraction form
    110.84/164.77 = 109.01/x
  3. Step 3: Cross multiply
    110.84x = 164.77 × 109.01
  4. Step 4: Simplify right side
    110.84x = 17,961.72
  5. Step 5: Solve for x
    x = 17,961.72/110.84
  6. Step 6: Final answer
    x = 162.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.