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Finding the Fourth Proportional to 492.08, 737.97 and 167.36

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Solution

The fourth proportional to 492.08, 737.97 and 167.36 is: 250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.08 : 737.97 = 167.36 : x
  2. Step 2: Convert to fraction form
    492.08/737.97 = 167.36/x
  3. Step 3: Cross multiply
    492.08x = 737.97 × 167.36
  4. Step 4: Simplify right side
    492.08x = 123,506.66
  5. Step 5: Solve for x
    x = 123,506.66/492.08
  6. Step 6: Final answer
    x = 250.99

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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.