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Finding the Fourth Proportional to 493.12, 680.24 and 286.08

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Solution

The fourth proportional to 493.12, 680.24 and 286.08 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.12 : 680.24 = 286.08 : x
  2. Step 2: Convert to fraction form
    493.12/680.24 = 286.08/x
  3. Step 3: Cross multiply
    493.12x = 680.24 × 286.08
  4. Step 4: Simplify right side
    493.12x = 194,603.06
  5. Step 5: Solve for x
    x = 194,603.06/493.12
  6. Step 6: Final answer
    x = 394.64

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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.