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Finding the Fourth Proportional to 511.72, 766.89 and 186.77

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Solution

The fourth proportional to 511.72, 766.89 and 186.77 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.72 : 766.89 = 186.77 : x
  2. Step 2: Convert to fraction form
    511.72/766.89 = 186.77/x
  3. Step 3: Cross multiply
    511.72x = 766.89 × 186.77
  4. Step 4: Simplify right side
    511.72x = 143,233.96
  5. Step 5: Solve for x
    x = 143,233.96/511.72
  6. Step 6: Final answer
    x = 279.91

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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.