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Finding the Fourth Proportional to 180.19, 248.67 and 101.51

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Solution

The fourth proportional to 180.19, 248.67 and 101.51 is: 140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.19 : 248.67 = 101.51 : x
  2. Step 2: Convert to fraction form
    180.19/248.67 = 101.51/x
  3. Step 3: Cross multiply
    180.19x = 248.67 × 101.51
  4. Step 4: Simplify right side
    180.19x = 25,241.93
  5. Step 5: Solve for x
    x = 25,241.93/180.19
  6. Step 6: Final answer
    x = 140.09

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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.