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Finding the Fourth Proportional to 109.98, 164.70 and 82.20

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Solution

The fourth proportional to 109.98, 164.70 and 82.20 is: 123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.98 : 164.70 = 82.20 : x
  2. Step 2: Convert to fraction form
    109.98/164.70 = 82.20/x
  3. Step 3: Cross multiply
    109.98x = 164.70 × 82.20
  4. Step 4: Simplify right side
    109.98x = 13,538.34
  5. Step 5: Solve for x
    x = 13,538.34/109.98
  6. Step 6: Final answer
    x = 123.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.