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Finding the Fourth Proportional to 167.25, 230.90 and 130.32

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Solution

The fourth proportional to 167.25, 230.90 and 130.32 is: 179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.25 : 230.90 = 130.32 : x
  2. Step 2: Convert to fraction form
    167.25/230.90 = 130.32/x
  3. Step 3: Cross multiply
    167.25x = 230.90 × 130.32
  4. Step 4: Simplify right side
    167.25x = 30,090.24
  5. Step 5: Solve for x
    x = 30,090.24/167.25
  6. Step 6: Final answer
    x = 179.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.