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Finding the Fourth Proportional to 185.14, 276.09 and 172.84

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Solution

The fourth proportional to 185.14, 276.09 and 172.84 is: 257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.14 : 276.09 = 172.84 : x
  2. Step 2: Convert to fraction form
    185.14/276.09 = 172.84/x
  3. Step 3: Cross multiply
    185.14x = 276.09 × 172.84
  4. Step 4: Simplify right side
    185.14x = 47,719.40
  5. Step 5: Solve for x
    x = 47,719.40/185.14
  6. Step 6: Final answer
    x = 257.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.