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Finding the Fourth Proportional to 188.28, 258.75 and 153.25

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Solution

The fourth proportional to 188.28, 258.75 and 153.25 is: 210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.28 : 258.75 = 153.25 : x
  2. Step 2: Convert to fraction form
    188.28/258.75 = 153.25/x
  3. Step 3: Cross multiply
    188.28x = 258.75 × 153.25
  4. Step 4: Simplify right side
    188.28x = 39,653.44
  5. Step 5: Solve for x
    x = 39,653.44/188.28
  6. Step 6: Final answer
    x = 210.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.