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Finding the Fourth Proportional to 181.34, 270.73 and 150.98

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Solution

The fourth proportional to 181.34, 270.73 and 150.98 is: 225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.34 : 270.73 = 150.98 : x
  2. Step 2: Convert to fraction form
    181.34/270.73 = 150.98/x
  3. Step 3: Cross multiply
    181.34x = 270.73 × 150.98
  4. Step 4: Simplify right side
    181.34x = 40,874.82
  5. Step 5: Solve for x
    x = 40,874.82/181.34
  6. Step 6: Final answer
    x = 225.40

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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.