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Finding the Fourth Proportional to 181.01, 271.98 and 164.16

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Solution

The fourth proportional to 181.01, 271.98 and 164.16 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.01 : 271.98 = 164.16 : x
  2. Step 2: Convert to fraction form
    181.01/271.98 = 164.16/x
  3. Step 3: Cross multiply
    181.01x = 271.98 × 164.16
  4. Step 4: Simplify right side
    181.01x = 44,648.24
  5. Step 5: Solve for x
    x = 44,648.24/181.01
  6. Step 6: Final answer
    x = 246.66

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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.