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Finding the Fourth Proportional to 181.36, 270.59 and 171.82

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Solution

The fourth proportional to 181.36, 270.59 and 171.82 is: 256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.36 : 270.59 = 171.82 : x
  2. Step 2: Convert to fraction form
    181.36/270.59 = 171.82/x
  3. Step 3: Cross multiply
    181.36x = 270.59 × 171.82
  4. Step 4: Simplify right side
    181.36x = 46,492.77
  5. Step 5: Solve for x
    x = 46,492.77/181.36
  6. Step 6: Final answer
    x = 256.36

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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.