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Finding the Fourth Proportional to 273.59, 410.26 and 91.01

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Solution

The fourth proportional to 273.59, 410.26 and 91.01 is: 136.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.59 : 410.26 = 91.01 : x
  2. Step 2: Convert to fraction form
    273.59/410.26 = 91.01/x
  3. Step 3: Cross multiply
    273.59x = 410.26 × 91.01
  4. Step 4: Simplify right side
    273.59x = 37,337.76
  5. Step 5: Solve for x
    x = 37,337.76/273.59
  6. Step 6: Final answer
    x = 136.47

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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.