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Finding the Fourth Proportional to 181.75, 272.64 and 72.06

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Solution

The fourth proportional to 181.75, 272.64 and 72.06 is: 108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.75 : 272.64 = 72.06 : x
  2. Step 2: Convert to fraction form
    181.75/272.64 = 72.06/x
  3. Step 3: Cross multiply
    181.75x = 272.64 × 72.06
  4. Step 4: Simplify right side
    181.75x = 19,646.44
  5. Step 5: Solve for x
    x = 19,646.44/181.75
  6. Step 6: Final answer
    x = 108.10

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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.