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Finding the Fourth Proportional to 181.99, 271.46 and 153.28

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Solution

The fourth proportional to 181.99, 271.46 and 153.28 is: 228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.99 : 271.46 = 153.28 : x
  2. Step 2: Convert to fraction form
    181.99/271.46 = 153.28/x
  3. Step 3: Cross multiply
    181.99x = 271.46 × 153.28
  4. Step 4: Simplify right side
    181.99x = 41,609.39
  5. Step 5: Solve for x
    x = 41,609.39/181.99
  6. Step 6: Final answer
    x = 228.64

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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.