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Finding the Fourth Proportional to 185.30, 276.95 and 133.60

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Solution

The fourth proportional to 185.30, 276.95 and 133.60 is: 199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.30 : 276.95 = 133.60 : x
  2. Step 2: Convert to fraction form
    185.30/276.95 = 133.60/x
  3. Step 3: Cross multiply
    185.30x = 276.95 × 133.60
  4. Step 4: Simplify right side
    185.30x = 37,000.52
  5. Step 5: Solve for x
    x = 37,000.52/185.30
  6. Step 6: Final answer
    x = 199.68

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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.