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Finding the Fourth Proportional to 181.58, 272.06 and 159.98

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Solution

The fourth proportional to 181.58, 272.06 and 159.98 is: 239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.58 : 272.06 = 159.98 : x
  2. Step 2: Convert to fraction form
    181.58/272.06 = 159.98/x
  3. Step 3: Cross multiply
    181.58x = 272.06 × 159.98
  4. Step 4: Simplify right side
    181.58x = 43,522.60
  5. Step 5: Solve for x
    x = 43,522.60/181.58
  6. Step 6: Final answer
    x = 239.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.