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Finding the Fourth Proportional to 167.06, 230.69 and 105.00

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Solution

The fourth proportional to 167.06, 230.69 and 105.00 is: 144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.06 : 230.69 = 105.00 : x
  2. Step 2: Convert to fraction form
    167.06/230.69 = 105.00/x
  3. Step 3: Cross multiply
    167.06x = 230.69 × 105.00
  4. Step 4: Simplify right side
    167.06x = 24,221.45
  5. Step 5: Solve for x
    x = 24,221.45/167.06
  6. Step 6: Final answer
    x = 144.98

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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.