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Finding the Fourth Proportional to 181.70, 272.55 and 51.71

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Solution

The fourth proportional to 181.70, 272.55 and 51.71 is: 77.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.70 : 272.55 = 51.71 : x
  2. Step 2: Convert to fraction form
    181.70/272.55 = 51.71/x
  3. Step 3: Cross multiply
    181.70x = 272.55 × 51.71
  4. Step 4: Simplify right side
    181.70x = 14,093.30
  5. Step 5: Solve for x
    x = 14,093.30/181.70
  6. Step 6: Final answer
    x = 77.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.