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Finding the Fourth Proportional to 187.21, 256.79 and 180.37

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Solution

The fourth proportional to 187.21, 256.79 and 180.37 is: 247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.21 : 256.79 = 180.37 : x
  2. Step 2: Convert to fraction form
    187.21/256.79 = 180.37/x
  3. Step 3: Cross multiply
    187.21x = 256.79 × 180.37
  4. Step 4: Simplify right side
    187.21x = 46,317.21
  5. Step 5: Solve for x
    x = 46,317.21/187.21
  6. Step 6: Final answer
    x = 247.41

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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.