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Finding the Fourth Proportional to 412.84, 568.96 and 338.92

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Solution

The fourth proportional to 412.84, 568.96 and 338.92 is: 467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 568.96 = 338.92 : x
  2. Step 2: Convert to fraction form
    412.84/568.96 = 338.92/x
  3. Step 3: Cross multiply
    412.84x = 568.96 × 338.92
  4. Step 4: Simplify right side
    412.84x = 192,831.92
  5. Step 5: Solve for x
    x = 192,831.92/412.84
  6. Step 6: Final answer
    x = 467.09

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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.