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Finding the Fourth Proportional to 121.50, 183.26 and 117.18

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Solution

The fourth proportional to 121.50, 183.26 and 117.18 is: 176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.50 : 183.26 = 117.18 : x
  2. Step 2: Convert to fraction form
    121.50/183.26 = 117.18/x
  3. Step 3: Cross multiply
    121.50x = 183.26 × 117.18
  4. Step 4: Simplify right side
    121.50x = 21,474.70
  5. Step 5: Solve for x
    x = 21,474.70/121.50
  6. Step 6: Final answer
    x = 176.75

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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.