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Finding the Fourth Proportional to 173.55, 240.63 and 165.33

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Solution

The fourth proportional to 173.55, 240.63 and 165.33 is: 229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.55 : 240.63 = 165.33 : x
  2. Step 2: Convert to fraction form
    173.55/240.63 = 165.33/x
  3. Step 3: Cross multiply
    173.55x = 240.63 × 165.33
  4. Step 4: Simplify right side
    173.55x = 39,783.36
  5. Step 5: Solve for x
    x = 39,783.36/173.55
  6. Step 6: Final answer
    x = 229.23

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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.