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Finding the Fourth Proportional to 167.30, 231.01 and 105.20

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Solution

The fourth proportional to 167.30, 231.01 and 105.20 is: 145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.30 : 231.01 = 105.20 : x
  2. Step 2: Convert to fraction form
    167.30/231.01 = 105.20/x
  3. Step 3: Cross multiply
    167.30x = 231.01 × 105.20
  4. Step 4: Simplify right side
    167.30x = 24,302.25
  5. Step 5: Solve for x
    x = 24,302.25/167.30
  6. Step 6: Final answer
    x = 145.26

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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.