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Finding the Fourth Proportional to 181.34, 270.72 and 159.32

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Solution

The fourth proportional to 181.34, 270.72 and 159.32 is: 237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.34 : 270.72 = 159.32 : x
  2. Step 2: Convert to fraction form
    181.34/270.72 = 159.32/x
  3. Step 3: Cross multiply
    181.34x = 270.72 × 159.32
  4. Step 4: Simplify right side
    181.34x = 43,129.82
  5. Step 5: Solve for x
    x = 43,129.82/181.34
  6. Step 6: Final answer
    x = 237.84

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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.