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Finding the Fourth Proportional to 180.05, 248.53 and 105.39

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Solution

The fourth proportional to 180.05, 248.53 and 105.39 is: 145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 248.53 = 105.39 : x
  2. Step 2: Convert to fraction form
    180.05/248.53 = 105.39/x
  3. Step 3: Cross multiply
    180.05x = 248.53 × 105.39
  4. Step 4: Simplify right side
    180.05x = 26,190.81
  5. Step 5: Solve for x
    x = 26,190.81/180.05
  6. Step 6: Final answer
    x = 145.46

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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.