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Finding the Fourth Proportional to 167.02, 250.61 and 105.31

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Solution

The fourth proportional to 167.02, 250.61 and 105.31 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.02 : 250.61 = 105.31 : x
  2. Step 2: Convert to fraction form
    167.02/250.61 = 105.31/x
  3. Step 3: Cross multiply
    167.02x = 250.61 × 105.31
  4. Step 4: Simplify right side
    167.02x = 26,391.74
  5. Step 5: Solve for x
    x = 26,391.74/167.02
  6. Step 6: Final answer
    x = 158.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.