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Finding the Fourth Proportional to 186.20, 278.94 and 89.90

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Solution

The fourth proportional to 186.20, 278.94 and 89.90 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.20 : 278.94 = 89.90 : x
  2. Step 2: Convert to fraction form
    186.20/278.94 = 89.90/x
  3. Step 3: Cross multiply
    186.20x = 278.94 × 89.90
  4. Step 4: Simplify right side
    186.20x = 25,076.71
  5. Step 5: Solve for x
    x = 25,076.71/186.20
  6. Step 6: Final answer
    x = 134.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.