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Finding the Fourth Proportional to 185.63, 279.99 and 179.15

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Solution

The fourth proportional to 185.63, 279.99 and 179.15 is: 270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.63 : 279.99 = 179.15 : x
  2. Step 2: Convert to fraction form
    185.63/279.99 = 179.15/x
  3. Step 3: Cross multiply
    185.63x = 279.99 × 179.15
  4. Step 4: Simplify right side
    185.63x = 50,158.81
  5. Step 5: Solve for x
    x = 50,158.81/185.63
  6. Step 6: Final answer
    x = 270.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.