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Finding the Fourth Proportional to 273.86, 410.69 and 91.20

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Solution

The fourth proportional to 273.86, 410.69 and 91.20 is: 136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.86 : 410.69 = 91.20 : x
  2. Step 2: Convert to fraction form
    273.86/410.69 = 91.20/x
  3. Step 3: Cross multiply
    273.86x = 410.69 × 91.20
  4. Step 4: Simplify right side
    273.86x = 37,455.16
  5. Step 5: Solve for x
    x = 37,455.16/273.86
  6. Step 6: Final answer
    x = 136.77

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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.