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Finding the Fourth Proportional to 173.14, 238.86 and 129.58

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Solution

The fourth proportional to 173.14, 238.86 and 129.58 is: 178.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.14 : 238.86 = 129.58 : x
  2. Step 2: Convert to fraction form
    173.14/238.86 = 129.58/x
  3. Step 3: Cross multiply
    173.14x = 238.86 × 129.58
  4. Step 4: Simplify right side
    173.14x = 30,951.48
  5. Step 5: Solve for x
    x = 30,951.48/173.14
  6. Step 6: Final answer
    x = 178.77

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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.