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Finding the Fourth Proportional to 176.26, 243.30 and 121

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Solution

The fourth proportional to 176.26, 243.30 and 121 is: 167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.26 : 243.30 = 121 : x
  2. Step 2: Convert to fraction form
    176.26/243.30 = 121/x
  3. Step 3: Cross multiply
    176.26x = 243.30 × 121
  4. Step 4: Simplify right side
    176.26x = 29,439.30
  5. Step 5: Solve for x
    x = 29,439.30/176.26
  6. Step 6: Final answer
    x = 167.02

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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.