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Finding the Fourth Proportional to 194.13, 289.58 and 165.42

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Solution

The fourth proportional to 194.13, 289.58 and 165.42 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.13 : 289.58 = 165.42 : x
  2. Step 2: Convert to fraction form
    194.13/289.58 = 165.42/x
  3. Step 3: Cross multiply
    194.13x = 289.58 × 165.42
  4. Step 4: Simplify right side
    194.13x = 47,901.50
  5. Step 5: Solve for x
    x = 47,901.50/194.13
  6. Step 6: Final answer
    x = 246.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.