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Finding the Fourth Proportional to 493.08, 680.51 and 296.55

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Solution

The fourth proportional to 493.08, 680.51 and 296.55 is: 409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.08 : 680.51 = 296.55 : x
  2. Step 2: Convert to fraction form
    493.08/680.51 = 296.55/x
  3. Step 3: Cross multiply
    493.08x = 680.51 × 296.55
  4. Step 4: Simplify right side
    493.08x = 201,805.24
  5. Step 5: Solve for x
    x = 201,805.24/493.08
  6. Step 6: Final answer
    x = 409.27

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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.