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Finding the Fourth Proportional to 176.35, 243.42 and 121.25

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Solution

The fourth proportional to 176.35, 243.42 and 121.25 is: 167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.35 : 243.42 = 121.25 : x
  2. Step 2: Convert to fraction form
    176.35/243.42 = 121.25/x
  3. Step 3: Cross multiply
    176.35x = 243.42 × 121.25
  4. Step 4: Simplify right side
    176.35x = 29,512.85
  5. Step 5: Solve for x
    x = 29,512.85/176.35
  6. Step 6: Final answer
    x = 167.36

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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.