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Finding the Fourth Proportional to 186.84, 280.44 and 175.05

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Solution

The fourth proportional to 186.84, 280.44 and 175.05 is: 262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.84 : 280.44 = 175.05 : x
  2. Step 2: Convert to fraction form
    186.84/280.44 = 175.05/x
  3. Step 3: Cross multiply
    186.84x = 280.44 × 175.05
  4. Step 4: Simplify right side
    186.84x = 49,091.02
  5. Step 5: Solve for x
    x = 49,091.02/186.84
  6. Step 6: Final answer
    x = 262.74

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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.