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Finding the Fourth Proportional to 188.82, 258.90 and 170.32

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Solution

The fourth proportional to 188.82, 258.90 and 170.32 is: 233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.82 : 258.90 = 170.32 : x
  2. Step 2: Convert to fraction form
    188.82/258.90 = 170.32/x
  3. Step 3: Cross multiply
    188.82x = 258.90 × 170.32
  4. Step 4: Simplify right side
    188.82x = 44,095.85
  5. Step 5: Solve for x
    x = 44,095.85/188.82
  6. Step 6: Final answer
    x = 233.53

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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.