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Finding the Fourth Proportional to 194.58, 266.87 and 172.71

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Solution

The fourth proportional to 194.58, 266.87 and 172.71 is: 236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.58 : 266.87 = 172.71 : x
  2. Step 2: Convert to fraction form
    194.58/266.87 = 172.71/x
  3. Step 3: Cross multiply
    194.58x = 266.87 × 172.71
  4. Step 4: Simplify right side
    194.58x = 46,091.55
  5. Step 5: Solve for x
    x = 46,091.55/194.58
  6. Step 6: Final answer
    x = 236.88

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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.