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Finding the Fourth Proportional to 173.07, 238.78 and 103.11

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Solution

The fourth proportional to 173.07, 238.78 and 103.11 is: 142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.07 : 238.78 = 103.11 : x
  2. Step 2: Convert to fraction form
    173.07/238.78 = 103.11/x
  3. Step 3: Cross multiply
    173.07x = 238.78 × 103.11
  4. Step 4: Simplify right side
    173.07x = 24,619.84
  5. Step 5: Solve for x
    x = 24,619.84/173.07
  6. Step 6: Final answer
    x = 142.25

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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.