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Finding the Fourth Proportional to 273.86, 410.42 and 129.26

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Solution

The fourth proportional to 273.86, 410.42 and 129.26 is: 193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.86 : 410.42 = 129.26 : x
  2. Step 2: Convert to fraction form
    273.86/410.42 = 129.26/x
  3. Step 3: Cross multiply
    273.86x = 410.42 × 129.26
  4. Step 4: Simplify right side
    273.86x = 53,050.89
  5. Step 5: Solve for x
    x = 53,050.89/273.86
  6. Step 6: Final answer
    x = 193.72

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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.