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Finding the Fourth Proportional to 178.77, 248.18 and 173.76

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Solution

The fourth proportional to 178.77, 248.18 and 173.76 is: 241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.77 : 248.18 = 173.76 : x
  2. Step 2: Convert to fraction form
    178.77/248.18 = 173.76/x
  3. Step 3: Cross multiply
    178.77x = 248.18 × 173.76
  4. Step 4: Simplify right side
    178.77x = 43,122.89
  5. Step 5: Solve for x
    x = 43,122.89/178.77
  6. Step 6: Final answer
    x = 241.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.