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Finding the Fourth Proportional to 186.69, 280.05 and 64.95

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Solution

The fourth proportional to 186.69, 280.05 and 64.95 is: 97.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.69 : 280.05 = 64.95 : x
  2. Step 2: Convert to fraction form
    186.69/280.05 = 64.95/x
  3. Step 3: Cross multiply
    186.69x = 280.05 × 64.95
  4. Step 4: Simplify right side
    186.69x = 18,189.25
  5. Step 5: Solve for x
    x = 18,189.25/186.69
  6. Step 6: Final answer
    x = 97.43

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Why These Related Problems?

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