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Finding the Fourth Proportional to 505.75, 757.20 and 267.75

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Solution

The fourth proportional to 505.75, 757.20 and 267.75 is: 400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.75 : 757.20 = 267.75 : x
  2. Step 2: Convert to fraction form
    505.75/757.20 = 267.75/x
  3. Step 3: Cross multiply
    505.75x = 757.20 × 267.75
  4. Step 4: Simplify right side
    505.75x = 202,741.00
  5. Step 5: Solve for x
    x = 202,741.00/505.75
  6. Step 6: Final answer
    x = 400.87

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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.