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Finding the Fourth Proportional to 181.70, 255.10 and 181.70

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Solution

The fourth proportional to 181.70, 255.10 and 181.70 is: 255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.70 : 255.10 = 181.70 : x
  2. Step 2: Convert to fraction form
    181.70/255.10 = 181.70/x
  3. Step 3: Cross multiply
    181.70x = 255.10 × 181.70
  4. Step 4: Simplify right side
    181.70x = 46,351.67
  5. Step 5: Solve for x
    x = 46,351.67/181.70
  6. Step 6: Final answer
    x = 255.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.