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Finding the Fourth Proportional to 164.30, 245.97 and 123.53

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Solution

The fourth proportional to 164.30, 245.97 and 123.53 is: 184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.30 : 245.97 = 123.53 : x
  2. Step 2: Convert to fraction form
    164.30/245.97 = 123.53/x
  3. Step 3: Cross multiply
    164.30x = 245.97 × 123.53
  4. Step 4: Simplify right side
    164.30x = 30,383.44
  5. Step 5: Solve for x
    x = 30,383.44/164.30
  6. Step 6: Final answer
    x = 184.93

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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.