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Finding the Fourth Proportional to 194, 289.53 and 180.96

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Solution

The fourth proportional to 194, 289.53 and 180.96 is: 270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194 : 289.53 = 180.96 : x
  2. Step 2: Convert to fraction form
    194/289.53 = 180.96/x
  3. Step 3: Cross multiply
    194x = 289.53 × 180.96
  4. Step 4: Simplify right side
    194x = 52,393.35
  5. Step 5: Solve for x
    x = 52,393.35/194
  6. Step 6: Final answer
    x = 270.07

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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.