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Finding the Fourth Proportional to 194.10, 272.55 and 194.10

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Solution

The fourth proportional to 194.10, 272.55 and 194.10 is: 272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.10 : 272.55 = 194.10 : x
  2. Step 2: Convert to fraction form
    194.10/272.55 = 194.10/x
  3. Step 3: Cross multiply
    194.10x = 272.55 × 194.10
  4. Step 4: Simplify right side
    194.10x = 52,901.96
  5. Step 5: Solve for x
    x = 52,901.96/194.10
  6. Step 6: Final answer
    x = 272.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.