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Finding the Fourth Proportional to 186.79, 279.97 and 64.99

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Solution

The fourth proportional to 186.79, 279.97 and 64.99 is: 97.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.79 : 279.97 = 64.99 : x
  2. Step 2: Convert to fraction form
    186.79/279.97 = 64.99/x
  3. Step 3: Cross multiply
    186.79x = 279.97 × 64.99
  4. Step 4: Simplify right side
    186.79x = 18,195.25
  5. Step 5: Solve for x
    x = 18,195.25/186.79
  6. Step 6: Final answer
    x = 97.41

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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.