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Finding the Fourth Proportional to 185.14, 276.14 and 155.91

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Solution

The fourth proportional to 185.14, 276.14 and 155.91 is: 232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.14 : 276.14 = 155.91 : x
  2. Step 2: Convert to fraction form
    185.14/276.14 = 155.91/x
  3. Step 3: Cross multiply
    185.14x = 276.14 × 155.91
  4. Step 4: Simplify right side
    185.14x = 43,052.99
  5. Step 5: Solve for x
    x = 43,052.99/185.14
  6. Step 6: Final answer
    x = 232.54

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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.