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Finding the Fourth Proportional to 492.29, 738.42 and 145.61

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Solution

The fourth proportional to 492.29, 738.42 and 145.61 is: 218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.29 : 738.42 = 145.61 : x
  2. Step 2: Convert to fraction form
    492.29/738.42 = 145.61/x
  3. Step 3: Cross multiply
    492.29x = 738.42 × 145.61
  4. Step 4: Simplify right side
    492.29x = 107,519.87
  5. Step 5: Solve for x
    x = 107,519.87/492.29
  6. Step 6: Final answer
    x = 218.41

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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.