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Finding the Fourth Proportional to 492.36, 738.56 and 261.46

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Solution

The fourth proportional to 492.36, 738.56 and 261.46 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.36 : 738.56 = 261.46 : x
  2. Step 2: Convert to fraction form
    492.36/738.56 = 261.46/x
  3. Step 3: Cross multiply
    492.36x = 738.56 × 261.46
  4. Step 4: Simplify right side
    492.36x = 193,103.90
  5. Step 5: Solve for x
    x = 193,103.90/492.36
  6. Step 6: Final answer
    x = 392.20

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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.