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Finding the Fourth Proportional to 176.22, 265.60 and 169.74

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Solution

The fourth proportional to 176.22, 265.60 and 169.74 is: 255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 265.60 = 169.74 : x
  2. Step 2: Convert to fraction form
    176.22/265.60 = 169.74/x
  3. Step 3: Cross multiply
    176.22x = 265.60 × 169.74
  4. Step 4: Simplify right side
    176.22x = 45,082.94
  5. Step 5: Solve for x
    x = 45,082.94/176.22
  6. Step 6: Final answer
    x = 255.83

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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.