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Finding the Fourth Proportional to 493.38, 680.93 and 286.38

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Solution

The fourth proportional to 493.38, 680.93 and 286.38 is: 395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.38 : 680.93 = 286.38 : x
  2. Step 2: Convert to fraction form
    493.38/680.93 = 286.38/x
  3. Step 3: Cross multiply
    493.38x = 680.93 × 286.38
  4. Step 4: Simplify right side
    493.38x = 195,003.30
  5. Step 5: Solve for x
    x = 195,003.30/493.38
  6. Step 6: Final answer
    x = 395.24

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1.5x scale

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.