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Finding the Fourth Proportional to 181.10, 251 and 178.64

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Solution

The fourth proportional to 181.10, 251 and 178.64 is: 247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.10 : 251 = 178.64 : x
  2. Step 2: Convert to fraction form
    181.10/251 = 178.64/x
  3. Step 3: Cross multiply
    181.10x = 251 × 178.64
  4. Step 4: Simplify right side
    181.10x = 44,838.64
  5. Step 5: Solve for x
    x = 44,838.64/181.10
  6. Step 6: Final answer
    x = 247.59

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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.