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Finding the Fourth Proportional to 186.58, 278.61 and 185.44

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Solution

The fourth proportional to 186.58, 278.61 and 185.44 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.58 : 278.61 = 185.44 : x
  2. Step 2: Convert to fraction form
    186.58/278.61 = 185.44/x
  3. Step 3: Cross multiply
    186.58x = 278.61 × 185.44
  4. Step 4: Simplify right side
    186.58x = 51,666.13
  5. Step 5: Solve for x
    x = 51,666.13/186.58
  6. Step 6: Final answer
    x = 276.91

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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.