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Finding the Fourth Proportional to 493, 680.32 and 296.44

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Solution

The fourth proportional to 493, 680.32 and 296.44 is: 409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493 : 680.32 = 296.44 : x
  2. Step 2: Convert to fraction form
    493/680.32 = 296.44/x
  3. Step 3: Cross multiply
    493x = 680.32 × 296.44
  4. Step 4: Simplify right side
    493x = 201,674.06
  5. Step 5: Solve for x
    x = 201,674.06/493
  6. Step 6: Final answer
    x = 409.08

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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.