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Finding the Fourth Proportional to 172.75, 237.35 and 141.58

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Solution

The fourth proportional to 172.75, 237.35 and 141.58 is: 194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.75 : 237.35 = 141.58 : x
  2. Step 2: Convert to fraction form
    172.75/237.35 = 141.58/x
  3. Step 3: Cross multiply
    172.75x = 237.35 × 141.58
  4. Step 4: Simplify right side
    172.75x = 33,604.01
  5. Step 5: Solve for x
    x = 33,604.01/172.75
  6. Step 6: Final answer
    x = 194.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.