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Finding the Fourth Proportional to 505.12, 757.82 and 273.91

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Solution

The fourth proportional to 505.12, 757.82 and 273.91 is: 410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.12 : 757.82 = 273.91 : x
  2. Step 2: Convert to fraction form
    505.12/757.82 = 273.91/x
  3. Step 3: Cross multiply
    505.12x = 757.82 × 273.91
  4. Step 4: Simplify right side
    505.12x = 207,574.48
  5. Step 5: Solve for x
    x = 207,574.48/505.12
  6. Step 6: Final answer
    x = 410.94

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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.