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Finding the Fourth Proportional to 492.40, 679.46 and 305.94

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Solution

The fourth proportional to 492.40, 679.46 and 305.94 is: 422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 679.46 = 305.94 : x
  2. Step 2: Convert to fraction form
    492.40/679.46 = 305.94/x
  3. Step 3: Cross multiply
    492.40x = 679.46 × 305.94
  4. Step 4: Simplify right side
    492.40x = 207,871.86
  5. Step 5: Solve for x
    x = 207,871.86/492.40
  6. Step 6: Final answer
    x = 422.16

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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.