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Finding the Fourth Proportional to 194.80, 290.67 and 177.55

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Solution

The fourth proportional to 194.80, 290.67 and 177.55 is: 264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.80 : 290.67 = 177.55 : x
  2. Step 2: Convert to fraction form
    194.80/290.67 = 177.55/x
  3. Step 3: Cross multiply
    194.80x = 290.67 × 177.55
  4. Step 4: Simplify right side
    194.80x = 51,608.46
  5. Step 5: Solve for x
    x = 51,608.46/194.80
  6. Step 6: Final answer
    x = 264.93

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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.