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Finding the Fourth Proportional to 492.24, 679.20 and 361.44

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Solution

The fourth proportional to 492.24, 679.20 and 361.44 is: 498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.24 : 679.20 = 361.44 : x
  2. Step 2: Convert to fraction form
    492.24/679.20 = 361.44/x
  3. Step 3: Cross multiply
    492.24x = 679.20 × 361.44
  4. Step 4: Simplify right side
    492.24x = 245,490.05
  5. Step 5: Solve for x
    x = 245,490.05/492.24
  6. Step 6: Final answer
    x = 498.72

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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.