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Finding the Fourth Proportional to 181.72, 251.84 and 178.48

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Solution

The fourth proportional to 181.72, 251.84 and 178.48 is: 247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.72 : 251.84 = 178.48 : x
  2. Step 2: Convert to fraction form
    181.72/251.84 = 178.48/x
  3. Step 3: Cross multiply
    181.72x = 251.84 × 178.48
  4. Step 4: Simplify right side
    181.72x = 44,948.40
  5. Step 5: Solve for x
    x = 44,948.40/181.72
  6. Step 6: Final answer
    x = 247.35

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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.