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Finding the Fourth Proportional to 255.06, 351.92 and 176.22

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Solution

The fourth proportional to 255.06, 351.92 and 176.22 is: 243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.06 : 351.92 = 176.22 : x
  2. Step 2: Convert to fraction form
    255.06/351.92 = 176.22/x
  3. Step 3: Cross multiply
    255.06x = 351.92 × 176.22
  4. Step 4: Simplify right side
    255.06x = 62,014.46
  5. Step 5: Solve for x
    x = 62,014.46/255.06
  6. Step 6: Final answer
    x = 243.14

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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.