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Finding the Fourth Proportional to 181.84, 272.56 and 85.56

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Solution

The fourth proportional to 181.84, 272.56 and 85.56 is: 128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.84 : 272.56 = 85.56 : x
  2. Step 2: Convert to fraction form
    181.84/272.56 = 85.56/x
  3. Step 3: Cross multiply
    181.84x = 272.56 × 85.56
  4. Step 4: Simplify right side
    181.84x = 23,320.23
  5. Step 5: Solve for x
    x = 23,320.23/181.84
  6. Step 6: Final answer
    x = 128.25

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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.