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Finding the Fourth Proportional to 180.11, 248.60 and 117.11

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Solution

The fourth proportional to 180.11, 248.60 and 117.11 is: 161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.11 : 248.60 = 117.11 : x
  2. Step 2: Convert to fraction form
    180.11/248.60 = 117.11/x
  3. Step 3: Cross multiply
    180.11x = 248.60 × 117.11
  4. Step 4: Simplify right side
    180.11x = 29,114.46
  5. Step 5: Solve for x
    x = 29,114.46/180.11
  6. Step 6: Final answer
    x = 161.65

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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.