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Finding the Fourth Proportional to 492.20, 679.14 and 293.03

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Solution

The fourth proportional to 492.20, 679.14 and 293.03 is: 404.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.20 : 679.14 = 293.03 : x
  2. Step 2: Convert to fraction form
    492.20/679.14 = 293.03/x
  3. Step 3: Cross multiply
    492.20x = 679.14 × 293.03
  4. Step 4: Simplify right side
    492.20x = 199,005.00
  5. Step 5: Solve for x
    x = 199,005.00/492.20
  6. Step 6: Final answer
    x = 404.32

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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.