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Finding the Fourth Proportional to 509.56, 765.72 and 266.27

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Solution

The fourth proportional to 509.56, 765.72 and 266.27 is: 400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 765.72 = 266.27 : x
  2. Step 2: Convert to fraction form
    509.56/765.72 = 266.27/x
  3. Step 3: Cross multiply
    509.56x = 765.72 × 266.27
  4. Step 4: Simplify right side
    509.56x = 203,884.44
  5. Step 5: Solve for x
    x = 203,884.44/509.56
  6. Step 6: Final answer
    x = 400.12

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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.