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Finding the Fourth Proportional to 164.32, 246.43 and 82.02

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Solution

The fourth proportional to 164.32, 246.43 and 82.02 is: 123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.32 : 246.43 = 82.02 : x
  2. Step 2: Convert to fraction form
    164.32/246.43 = 82.02/x
  3. Step 3: Cross multiply
    164.32x = 246.43 × 82.02
  4. Step 4: Simplify right side
    164.32x = 20,212.19
  5. Step 5: Solve for x
    x = 20,212.19/164.32
  6. Step 6: Final answer
    x = 123.01

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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.