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Finding the Fourth Proportional to 187.44, 278.70 and 180.15

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Solution

The fourth proportional to 187.44, 278.70 and 180.15 is: 267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.44 : 278.70 = 180.15 : x
  2. Step 2: Convert to fraction form
    187.44/278.70 = 180.15/x
  3. Step 3: Cross multiply
    187.44x = 278.70 × 180.15
  4. Step 4: Simplify right side
    187.44x = 50,207.81
  5. Step 5: Solve for x
    x = 50,207.81/187.44
  6. Step 6: Final answer
    x = 267.86

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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.