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Finding the Fourth Proportional to 351.40, 484.95 and 194.05

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Solution

The fourth proportional to 351.40, 484.95 and 194.05 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.40 : 484.95 = 194.05 : x
  2. Step 2: Convert to fraction form
    351.40/484.95 = 194.05/x
  3. Step 3: Cross multiply
    351.40x = 484.95 × 194.05
  4. Step 4: Simplify right side
    351.40x = 94,104.55
  5. Step 5: Solve for x
    x = 94,104.55/351.40
  6. Step 6: Final answer
    x = 267.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.