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Finding the Fourth Proportional to 515.65, 773.26 and 186.49

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Solution

The fourth proportional to 515.65, 773.26 and 186.49 is: 279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.65 : 773.26 = 186.49 : x
  2. Step 2: Convert to fraction form
    515.65/773.26 = 186.49/x
  3. Step 3: Cross multiply
    515.65x = 773.26 × 186.49
  4. Step 4: Simplify right side
    515.65x = 144,205.26
  5. Step 5: Solve for x
    x = 144,205.26/515.65
  6. Step 6: Final answer
    x = 279.66

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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.