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Finding the Fourth Proportional to 181.32, 270.76 and 155.37

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Solution

The fourth proportional to 181.32, 270.76 and 155.37 is: 232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.32 : 270.76 = 155.37 : x
  2. Step 2: Convert to fraction form
    181.32/270.76 = 155.37/x
  3. Step 3: Cross multiply
    181.32x = 270.76 × 155.37
  4. Step 4: Simplify right side
    181.32x = 42,067.98
  5. Step 5: Solve for x
    x = 42,067.98/181.32
  6. Step 6: Final answer
    x = 232.01

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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.