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Finding the Fourth Proportional to 273.19, 409.88 and 128.92

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Solution

The fourth proportional to 273.19, 409.88 and 128.92 is: 193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.19 : 409.88 = 128.92 : x
  2. Step 2: Convert to fraction form
    273.19/409.88 = 128.92/x
  3. Step 3: Cross multiply
    273.19x = 409.88 × 128.92
  4. Step 4: Simplify right side
    273.19x = 52,841.03
  5. Step 5: Solve for x
    x = 52,841.03/273.19
  6. Step 6: Final answer
    x = 193.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.