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Finding the Fourth Proportional to 511.45, 766.70 and 186.58

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Solution

The fourth proportional to 511.45, 766.70 and 186.58 is: 279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.45 : 766.70 = 186.58 : x
  2. Step 2: Convert to fraction form
    511.45/766.70 = 186.58/x
  3. Step 3: Cross multiply
    511.45x = 766.70 × 186.58
  4. Step 4: Simplify right side
    511.45x = 143,049.95
  5. Step 5: Solve for x
    x = 143,049.95/511.45
  6. Step 6: Final answer
    x = 279.69

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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.