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Finding the Fourth Proportional to 194.23, 267.01 and 187.75

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Solution

The fourth proportional to 194.23, 267.01 and 187.75 is: 258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 267.01 = 187.75 : x
  2. Step 2: Convert to fraction form
    194.23/267.01 = 187.75/x
  3. Step 3: Cross multiply
    194.23x = 267.01 × 187.75
  4. Step 4: Simplify right side
    194.23x = 50,131.13
  5. Step 5: Solve for x
    x = 50,131.13/194.23
  6. Step 6: Final answer
    x = 258.10

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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.