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Finding the Fourth Proportional to 492.38, 679.54 and 285.38

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Solution

The fourth proportional to 492.38, 679.54 and 285.38 is: 393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.38 : 679.54 = 285.38 : x
  2. Step 2: Convert to fraction form
    492.38/679.54 = 285.38/x
  3. Step 3: Cross multiply
    492.38x = 679.54 × 285.38
  4. Step 4: Simplify right side
    492.38x = 193,927.13
  5. Step 5: Solve for x
    x = 193,927.13/492.38
  6. Step 6: Final answer
    x = 393.86

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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.