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Finding the Fourth Proportional to 182.72, 253.90 and 180.43

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Solution

The fourth proportional to 182.72, 253.90 and 180.43 is: 250.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.72 : 253.90 = 180.43 : x
  2. Step 2: Convert to fraction form
    182.72/253.90 = 180.43/x
  3. Step 3: Cross multiply
    182.72x = 253.90 × 180.43
  4. Step 4: Simplify right side
    182.72x = 45,811.18
  5. Step 5: Solve for x
    x = 45,811.18/182.72
  6. Step 6: Final answer
    x = 250.72

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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.