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Finding the Fourth Proportional to 180.59, 248.96 and 128.75

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Solution

The fourth proportional to 180.59, 248.96 and 128.75 is: 177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.59 : 248.96 = 128.75 : x
  2. Step 2: Convert to fraction form
    180.59/248.96 = 128.75/x
  3. Step 3: Cross multiply
    180.59x = 248.96 × 128.75
  4. Step 4: Simplify right side
    180.59x = 32,052.96
  5. Step 5: Solve for x
    x = 32,052.96/180.59
  6. Step 6: Final answer
    x = 177.49

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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.