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Finding the Fourth Proportional to 182.78, 272.41 and 182.50

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Solution

The fourth proportional to 182.78, 272.41 and 182.50 is: 271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.78 : 272.41 = 182.50 : x
  2. Step 2: Convert to fraction form
    182.78/272.41 = 182.50/x
  3. Step 3: Cross multiply
    182.78x = 272.41 × 182.50
  4. Step 4: Simplify right side
    182.78x = 49,714.52
  5. Step 5: Solve for x
    x = 49,714.52/182.78
  6. Step 6: Final answer
    x = 271.99

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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.