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Finding the Fourth Proportional to 194.23, 267.43 and 172.36

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Solution

The fourth proportional to 194.23, 267.43 and 172.36 is: 237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 267.43 = 172.36 : x
  2. Step 2: Convert to fraction form
    194.23/267.43 = 172.36/x
  3. Step 3: Cross multiply
    194.23x = 267.43 × 172.36
  4. Step 4: Simplify right side
    194.23x = 46,094.23
  5. Step 5: Solve for x
    x = 46,094.23/194.23
  6. Step 6: Final answer
    x = 237.32

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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.