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Finding the Fourth Proportional to 184.41, 254.61 and 143.15

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Solution

The fourth proportional to 184.41, 254.61 and 143.15 is: 197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.41 : 254.61 = 143.15 : x
  2. Step 2: Convert to fraction form
    184.41/254.61 = 143.15/x
  3. Step 3: Cross multiply
    184.41x = 254.61 × 143.15
  4. Step 4: Simplify right side
    184.41x = 36,446.15
  5. Step 5: Solve for x
    x = 36,446.15/184.41
  6. Step 6: Final answer
    x = 197.64

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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.