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Finding the Fourth Proportional to 188.57, 258.56 and 170.07

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Solution

The fourth proportional to 188.57, 258.56 and 170.07 is: 233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.57 : 258.56 = 170.07 : x
  2. Step 2: Convert to fraction form
    188.57/258.56 = 170.07/x
  3. Step 3: Cross multiply
    188.57x = 258.56 × 170.07
  4. Step 4: Simplify right side
    188.57x = 43,973.30
  5. Step 5: Solve for x
    x = 43,973.30/188.57
  6. Step 6: Final answer
    x = 233.19

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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.