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Finding the Fourth Proportional to 167.20, 230.19 and 145.36

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Solution

The fourth proportional to 167.20, 230.19 and 145.36 is: 200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.20 : 230.19 = 145.36 : x
  2. Step 2: Convert to fraction form
    167.20/230.19 = 145.36/x
  3. Step 3: Cross multiply
    167.20x = 230.19 × 145.36
  4. Step 4: Simplify right side
    167.20x = 33,460.98
  5. Step 5: Solve for x
    x = 33,460.98/167.20
  6. Step 6: Final answer
    x = 200.12

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Why These Related Problems?

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