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Finding the Fourth Proportional to 110.21, 164.49 and 103.07

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Solution

The fourth proportional to 110.21, 164.49 and 103.07 is: 153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.21 : 164.49 = 103.07 : x
  2. Step 2: Convert to fraction form
    110.21/164.49 = 103.07/x
  3. Step 3: Cross multiply
    110.21x = 164.49 × 103.07
  4. Step 4: Simplify right side
    110.21x = 16,953.98
  5. Step 5: Solve for x
    x = 16,953.98/110.21
  6. Step 6: Final answer
    x = 153.83

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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.