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Finding the Fourth Proportional to 181.81, 250.75 and 161.90

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Solution

The fourth proportional to 181.81, 250.75 and 161.90 is: 223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.81 : 250.75 = 161.90 : x
  2. Step 2: Convert to fraction form
    181.81/250.75 = 161.90/x
  3. Step 3: Cross multiply
    181.81x = 250.75 × 161.90
  4. Step 4: Simplify right side
    181.81x = 40,595.40
  5. Step 5: Solve for x
    x = 40,595.40/181.81
  6. Step 6: Final answer
    x = 223.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.