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Finding the Fourth Proportional to 177.88, 246.43 and 173.63

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Solution

The fourth proportional to 177.88, 246.43 and 173.63 is: 240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.88 : 246.43 = 173.63 : x
  2. Step 2: Convert to fraction form
    177.88/246.43 = 173.63/x
  3. Step 3: Cross multiply
    177.88x = 246.43 × 173.63
  4. Step 4: Simplify right side
    177.88x = 42,787.21
  5. Step 5: Solve for x
    x = 42,787.21/177.88
  6. Step 6: Final answer
    x = 240.54

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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.