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Finding the Fourth Proportional to 187.09, 278.68 and 180.40

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Solution

The fourth proportional to 187.09, 278.68 and 180.40 is: 268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.09 : 278.68 = 180.40 : x
  2. Step 2: Convert to fraction form
    187.09/278.68 = 180.40/x
  3. Step 3: Cross multiply
    187.09x = 278.68 × 180.40
  4. Step 4: Simplify right side
    187.09x = 50,273.87
  5. Step 5: Solve for x
    x = 50,273.87/187.09
  6. Step 6: Final answer
    x = 268.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.