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Finding the Fourth Proportional to 178.44, 245.73 and 173.19

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Solution

The fourth proportional to 178.44, 245.73 and 173.19 is: 238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.44 : 245.73 = 173.19 : x
  2. Step 2: Convert to fraction form
    178.44/245.73 = 173.19/x
  3. Step 3: Cross multiply
    178.44x = 245.73 × 173.19
  4. Step 4: Simplify right side
    178.44x = 42,557.98
  5. Step 5: Solve for x
    x = 42,557.98/178.44
  6. Step 6: Final answer
    x = 238.50

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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.