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Finding the Fourth Proportional to 194.76, 289.98 and 182.88

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Solution

The fourth proportional to 194.76, 289.98 and 182.88 is: 272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.76 : 289.98 = 182.88 : x
  2. Step 2: Convert to fraction form
    194.76/289.98 = 182.88/x
  3. Step 3: Cross multiply
    194.76x = 289.98 × 182.88
  4. Step 4: Simplify right side
    194.76x = 53,031.54
  5. Step 5: Solve for x
    x = 53,031.54/194.76
  6. Step 6: Final answer
    x = 272.29

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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.