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Finding the Fourth Proportional to 164.17, 226.38 and 102.01

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Solution

The fourth proportional to 164.17, 226.38 and 102.01 is: 140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.17 : 226.38 = 102.01 : x
  2. Step 2: Convert to fraction form
    164.17/226.38 = 102.01/x
  3. Step 3: Cross multiply
    164.17x = 226.38 × 102.01
  4. Step 4: Simplify right side
    164.17x = 23,093.02
  5. Step 5: Solve for x
    x = 23,093.02/164.17
  6. Step 6: Final answer
    x = 140.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.