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Finding the Fourth Proportional to 186.42, 278.58 and 180.30

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Solution

The fourth proportional to 186.42, 278.58 and 180.30 is: 269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.42 : 278.58 = 180.30 : x
  2. Step 2: Convert to fraction form
    186.42/278.58 = 180.30/x
  3. Step 3: Cross multiply
    186.42x = 278.58 × 180.30
  4. Step 4: Simplify right side
    186.42x = 50,227.97
  5. Step 5: Solve for x
    x = 50,227.97/186.42
  6. Step 6: Final answer
    x = 269.43

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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.