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Finding the Fourth Proportional to 181.87, 270.35 and 176.41

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Solution

The fourth proportional to 181.87, 270.35 and 176.41 is: 262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.87 : 270.35 = 176.41 : x
  2. Step 2: Convert to fraction form
    181.87/270.35 = 176.41/x
  3. Step 3: Cross multiply
    181.87x = 270.35 × 176.41
  4. Step 4: Simplify right side
    181.87x = 47,692.44
  5. Step 5: Solve for x
    x = 47,692.44/181.87
  6. Step 6: Final answer
    x = 262.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.