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Finding the Fourth Proportional to 180.65, 248.99 and 128.25

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Solution

The fourth proportional to 180.65, 248.99 and 128.25 is: 176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 248.99 = 128.25 : x
  2. Step 2: Convert to fraction form
    180.65/248.99 = 128.25/x
  3. Step 3: Cross multiply
    180.65x = 248.99 × 128.25
  4. Step 4: Simplify right side
    180.65x = 31,932.33
  5. Step 5: Solve for x
    x = 31,932.33/180.65
  6. Step 6: Final answer
    x = 176.77

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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.