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Finding the Fourth Proportional to 411.67, 568.16 and 254.26

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Solution

The fourth proportional to 411.67, 568.16 and 254.26 is: 350.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.67 : 568.16 = 254.26 : x
  2. Step 2: Convert to fraction form
    411.67/568.16 = 254.26/x
  3. Step 3: Cross multiply
    411.67x = 568.16 × 254.26
  4. Step 4: Simplify right side
    411.67x = 144,460.36
  5. Step 5: Solve for x
    x = 144,460.36/411.67
  6. Step 6: Final answer
    x = 350.91

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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.