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Finding the Fourth Proportional to 173.75, 239.96 and 154.31

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Solution

The fourth proportional to 173.75, 239.96 and 154.31 is: 213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.75 : 239.96 = 154.31 : x
  2. Step 2: Convert to fraction form
    173.75/239.96 = 154.31/x
  3. Step 3: Cross multiply
    173.75x = 239.96 × 154.31
  4. Step 4: Simplify right side
    173.75x = 37,027.41
  5. Step 5: Solve for x
    x = 37,027.41/173.75
  6. Step 6: Final answer
    x = 213.11

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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.