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Finding the Fourth Proportional to 176.42, 243.16 and 121.06

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Solution

The fourth proportional to 176.42, 243.16 and 121.06 is: 166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.42 : 243.16 = 121.06 : x
  2. Step 2: Convert to fraction form
    176.42/243.16 = 121.06/x
  3. Step 3: Cross multiply
    176.42x = 243.16 × 121.06
  4. Step 4: Simplify right side
    176.42x = 29,436.95
  5. Step 5: Solve for x
    x = 29,436.95/176.42
  6. Step 6: Final answer
    x = 166.86

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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.