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Finding the Fourth Proportional to 492.40, 679.53 and 295.90

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Solution

The fourth proportional to 492.40, 679.53 and 295.90 is: 408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 679.53 = 295.90 : x
  2. Step 2: Convert to fraction form
    492.40/679.53 = 295.90/x
  3. Step 3: Cross multiply
    492.40x = 679.53 × 295.90
  4. Step 4: Simplify right side
    492.40x = 201,072.93
  5. Step 5: Solve for x
    x = 201,072.93/492.40
  6. Step 6: Final answer
    x = 408.35

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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.