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Finding the Fourth Proportional to 194.48, 267.90 and 192.08

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Solution

The fourth proportional to 194.48, 267.90 and 192.08 is: 264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.48 : 267.90 = 192.08 : x
  2. Step 2: Convert to fraction form
    194.48/267.90 = 192.08/x
  3. Step 3: Cross multiply
    194.48x = 267.90 × 192.08
  4. Step 4: Simplify right side
    194.48x = 51,458.23
  5. Step 5: Solve for x
    x = 51,458.23/194.48
  6. Step 6: Final answer
    x = 264.59

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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.