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Finding the Fourth Proportional to 173.04, 238.80 and 123.80

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Solution

The fourth proportional to 173.04, 238.80 and 123.80 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.04 : 238.80 = 123.80 : x
  2. Step 2: Convert to fraction form
    173.04/238.80 = 123.80/x
  3. Step 3: Cross multiply
    173.04x = 238.80 × 123.80
  4. Step 4: Simplify right side
    173.04x = 29,563.44
  5. Step 5: Solve for x
    x = 29,563.44/173.04
  6. Step 6: Final answer
    x = 170.85

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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.