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Finding the Fourth Proportional to 186.99, 256.17 and 180.06

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Solution

The fourth proportional to 186.99, 256.17 and 180.06 is: 246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.99 : 256.17 = 180.06 : x
  2. Step 2: Convert to fraction form
    186.99/256.17 = 180.06/x
  3. Step 3: Cross multiply
    186.99x = 256.17 × 180.06
  4. Step 4: Simplify right side
    186.99x = 46,125.97
  5. Step 5: Solve for x
    x = 46,125.97/186.99
  6. Step 6: Final answer
    x = 246.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.