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Finding the Fourth Proportional to 167.16, 230.50 and 137.16

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Solution

The fourth proportional to 167.16, 230.50 and 137.16 is: 189.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.16 : 230.50 = 137.16 : x
  2. Step 2: Convert to fraction form
    167.16/230.50 = 137.16/x
  3. Step 3: Cross multiply
    167.16x = 230.50 × 137.16
  4. Step 4: Simplify right side
    167.16x = 31,615.38
  5. Step 5: Solve for x
    x = 31,615.38/167.16
  6. Step 6: Final answer
    x = 189.13

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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.