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Finding the Fourth Proportional to 173.13, 238.71 and 138.30

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Solution

The fourth proportional to 173.13, 238.71 and 138.30 is: 190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.13 : 238.71 = 138.30 : x
  2. Step 2: Convert to fraction form
    173.13/238.71 = 138.30/x
  3. Step 3: Cross multiply
    173.13x = 238.71 × 138.30
  4. Step 4: Simplify right side
    173.13x = 33,013.59
  5. Step 5: Solve for x
    x = 33,013.59/173.13
  6. Step 6: Final answer
    x = 190.69

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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.