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Finding the Fourth Proportional to 194.05, 267.55 and 165.99

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Solution

The fourth proportional to 194.05, 267.55 and 165.99 is: 228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.05 : 267.55 = 165.99 : x
  2. Step 2: Convert to fraction form
    194.05/267.55 = 165.99/x
  3. Step 3: Cross multiply
    194.05x = 267.55 × 165.99
  4. Step 4: Simplify right side
    194.05x = 44,411.21
  5. Step 5: Solve for x
    x = 44,411.21/194.05
  6. Step 6: Final answer
    x = 228.86

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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.