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Finding the Fourth Proportional to 167.54, 230.88 and 137.90

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Solution

The fourth proportional to 167.54, 230.88 and 137.90 is: 190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.54 : 230.88 = 137.90 : x
  2. Step 2: Convert to fraction form
    167.54/230.88 = 137.90/x
  3. Step 3: Cross multiply
    167.54x = 230.88 × 137.90
  4. Step 4: Simplify right side
    167.54x = 31,838.35
  5. Step 5: Solve for x
    x = 31,838.35/167.54
  6. Step 6: Final answer
    x = 190.03

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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.