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Finding the Fourth Proportional to 194.45, 267.91 and 145.24

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Solution

The fourth proportional to 194.45, 267.91 and 145.24 is: 200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.45 : 267.91 = 145.24 : x
  2. Step 2: Convert to fraction form
    194.45/267.91 = 145.24/x
  3. Step 3: Cross multiply
    194.45x = 267.91 × 145.24
  4. Step 4: Simplify right side
    194.45x = 38,911.72
  5. Step 5: Solve for x
    x = 38,911.72/194.45
  6. Step 6: Final answer
    x = 200.11

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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.