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Finding the Fourth Proportional to 167.07, 230.39 and 107.99

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Solution

The fourth proportional to 167.07, 230.39 and 107.99 is: 148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.07 : 230.39 = 107.99 : x
  2. Step 2: Convert to fraction form
    167.07/230.39 = 107.99/x
  3. Step 3: Cross multiply
    167.07x = 230.39 × 107.99
  4. Step 4: Simplify right side
    167.07x = 24,878.12
  5. Step 5: Solve for x
    x = 24,878.12/167.07
  6. Step 6: Final answer
    x = 148.91

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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.