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Finding the Fourth Proportional to 164.39, 245.46 and 144.97

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Solution

The fourth proportional to 164.39, 245.46 and 144.97 is: 216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.39 : 245.46 = 144.97 : x
  2. Step 2: Convert to fraction form
    164.39/245.46 = 144.97/x
  3. Step 3: Cross multiply
    164.39x = 245.46 × 144.97
  4. Step 4: Simplify right side
    164.39x = 35,584.34
  5. Step 5: Solve for x
    x = 35,584.34/164.39
  6. Step 6: Final answer
    x = 216.47

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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.