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Finding the Fourth Proportional to 176.22, 242.91 and 120.96

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Solution

The fourth proportional to 176.22, 242.91 and 120.96 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 242.91 = 120.96 : x
  2. Step 2: Convert to fraction form
    176.22/242.91 = 120.96/x
  3. Step 3: Cross multiply
    176.22x = 242.91 × 120.96
  4. Step 4: Simplify right side
    176.22x = 29,382.39
  5. Step 5: Solve for x
    x = 29,382.39/176.22
  6. Step 6: Final answer
    x = 166.74

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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.