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Finding the Fourth Proportional to 492.48, 678.92 and 352.56

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Solution

The fourth proportional to 492.48, 678.92 and 352.56 is: 486.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.48 : 678.92 = 352.56 : x
  2. Step 2: Convert to fraction form
    492.48/678.92 = 352.56/x
  3. Step 3: Cross multiply
    492.48x = 678.92 × 352.56
  4. Step 4: Simplify right side
    492.48x = 239,360.04
  5. Step 5: Solve for x
    x = 239,360.04/492.48
  6. Step 6: Final answer
    x = 486.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.