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Finding the Fourth Proportional to 181.70, 270.89 and 168.16

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Solution

The fourth proportional to 181.70, 270.89 and 168.16 is: 250.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.70 : 270.89 = 168.16 : x
  2. Step 2: Convert to fraction form
    181.70/270.89 = 168.16/x
  3. Step 3: Cross multiply
    181.70x = 270.89 × 168.16
  4. Step 4: Simplify right side
    181.70x = 45,552.61
  5. Step 5: Solve for x
    x = 45,552.61/181.70
  6. Step 6: Final answer
    x = 250.70

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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.