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Finding the Fourth Proportional to 255.16, 351.96 and 161.81

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Solution

The fourth proportional to 255.16, 351.96 and 161.81 is: 223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.16 : 351.96 = 161.81 : x
  2. Step 2: Convert to fraction form
    255.16/351.96 = 161.81/x
  3. Step 3: Cross multiply
    255.16x = 351.96 × 161.81
  4. Step 4: Simplify right side
    255.16x = 56,950.65
  5. Step 5: Solve for x
    x = 56,950.65/255.16
  6. Step 6: Final answer
    x = 223.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.