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Finding the Fourth Proportional to 164.36, 245.41 and 144.95

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Solution

The fourth proportional to 164.36, 245.41 and 144.95 is: 216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.36 : 245.41 = 144.95 : x
  2. Step 2: Convert to fraction form
    164.36/245.41 = 144.95/x
  3. Step 3: Cross multiply
    164.36x = 245.41 × 144.95
  4. Step 4: Simplify right side
    164.36x = 35,571.08
  5. Step 5: Solve for x
    x = 35,571.08/164.36
  6. Step 6: Final answer
    x = 216.42

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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.