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Finding the Fourth Proportional to 492.18, 738.10 and 145.43

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Solution

The fourth proportional to 492.18, 738.10 and 145.43 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.18 : 738.10 = 145.43 : x
  2. Step 2: Convert to fraction form
    492.18/738.10 = 145.43/x
  3. Step 3: Cross multiply
    492.18x = 738.10 × 145.43
  4. Step 4: Simplify right side
    492.18x = 107,341.14
  5. Step 5: Solve for x
    x = 107,341.14/492.18
  6. Step 6: Final answer
    x = 218.09

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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.