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Finding the Fourth Proportional to 188.53, 258.77 and 167.34

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Solution

The fourth proportional to 188.53, 258.77 and 167.34 is: 229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.53 : 258.77 = 167.34 : x
  2. Step 2: Convert to fraction form
    188.53/258.77 = 167.34/x
  3. Step 3: Cross multiply
    188.53x = 258.77 × 167.34
  4. Step 4: Simplify right side
    188.53x = 43,302.57
  5. Step 5: Solve for x
    x = 43,302.57/188.53
  6. Step 6: Final answer
    x = 229.69

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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.