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Finding the Fourth Proportional to 492.36, 738.62 and 167.72

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Solution

The fourth proportional to 492.36, 738.62 and 167.72 is: 251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.36 : 738.62 = 167.72 : x
  2. Step 2: Convert to fraction form
    492.36/738.62 = 167.72/x
  3. Step 3: Cross multiply
    492.36x = 738.62 × 167.72
  4. Step 4: Simplify right side
    492.36x = 123,881.35
  5. Step 5: Solve for x
    x = 123,881.35/492.36
  6. Step 6: Final answer
    x = 251.61

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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.