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Finding the Fourth Proportional to 184.54, 254.90 and 149.80

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Solution

The fourth proportional to 184.54, 254.90 and 149.80 is: 206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.54 : 254.90 = 149.80 : x
  2. Step 2: Convert to fraction form
    184.54/254.90 = 149.80/x
  3. Step 3: Cross multiply
    184.54x = 254.90 × 149.80
  4. Step 4: Simplify right side
    184.54x = 38,183.76
  5. Step 5: Solve for x
    x = 38,183.76/184.54
  6. Step 6: Final answer
    x = 206.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.