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Finding the Fourth Proportional to 273.69, 410.72 and 129.33

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Solution

The fourth proportional to 273.69, 410.72 and 129.33 is: 194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.69 : 410.72 = 129.33 : x
  2. Step 2: Convert to fraction form
    273.69/410.72 = 129.33/x
  3. Step 3: Cross multiply
    273.69x = 410.72 × 129.33
  4. Step 4: Simplify right side
    273.69x = 53,117.77
  5. Step 5: Solve for x
    x = 53,117.77/273.69
  6. Step 6: Final answer
    x = 194.08

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