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Finding the Fourth Proportional to 181.21, 272.91 and 152.51

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Solution

The fourth proportional to 181.21, 272.91 and 152.51 is: 229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.21 : 272.91 = 152.51 : x
  2. Step 2: Convert to fraction form
    181.21/272.91 = 152.51/x
  3. Step 3: Cross multiply
    181.21x = 272.91 × 152.51
  4. Step 4: Simplify right side
    181.21x = 41,621.05
  5. Step 5: Solve for x
    x = 41,621.05/181.21
  6. Step 6: Final answer
    x = 229.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.