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Finding the Fourth Proportional to 121.49, 180.77 and 121.08

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Solution

The fourth proportional to 121.49, 180.77 and 121.08 is: 180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.49 : 180.77 = 121.08 : x
  2. Step 2: Convert to fraction form
    121.49/180.77 = 121.08/x
  3. Step 3: Cross multiply
    121.49x = 180.77 × 121.08
  4. Step 4: Simplify right side
    121.49x = 21,887.63
  5. Step 5: Solve for x
    x = 21,887.63/121.49
  6. Step 6: Final answer
    x = 180.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.