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Finding the Fourth Proportional to 194.77, 266.70 and 193.42

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Solution

The fourth proportional to 194.77, 266.70 and 193.42 is: 264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.77 : 266.70 = 193.42 : x
  2. Step 2: Convert to fraction form
    194.77/266.70 = 193.42/x
  3. Step 3: Cross multiply
    194.77x = 266.70 × 193.42
  4. Step 4: Simplify right side
    194.77x = 51,585.11
  5. Step 5: Solve for x
    x = 51,585.11/194.77
  6. Step 6: Final answer
    x = 264.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.