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Finding the Fourth Proportional to 511.42, 766.67 and 186.56

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Solution

The fourth proportional to 511.42, 766.67 and 186.56 is: 279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.42 : 766.67 = 186.56 : x
  2. Step 2: Convert to fraction form
    511.42/766.67 = 186.56/x
  3. Step 3: Cross multiply
    511.42x = 766.67 × 186.56
  4. Step 4: Simplify right side
    511.42x = 143,029.96
  5. Step 5: Solve for x
    x = 143,029.96/511.42
  6. Step 6: Final answer
    x = 279.67

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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.