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Finding the Fourth Proportional to 183.28, 254.70 and 180.98

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Solution

The fourth proportional to 183.28, 254.70 and 180.98 is: 251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.28 : 254.70 = 180.98 : x
  2. Step 2: Convert to fraction form
    183.28/254.70 = 180.98/x
  3. Step 3: Cross multiply
    183.28x = 254.70 × 180.98
  4. Step 4: Simplify right side
    183.28x = 46,095.61
  5. Step 5: Solve for x
    x = 46,095.61/183.28
  6. Step 6: Final answer
    x = 251.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.