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Finding the Fourth Proportional to 411.98, 568.79 and 294.19

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Solution

The fourth proportional to 411.98, 568.79 and 294.19 is: 406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.98 : 568.79 = 294.19 : x
  2. Step 2: Convert to fraction form
    411.98/568.79 = 294.19/x
  3. Step 3: Cross multiply
    411.98x = 568.79 × 294.19
  4. Step 4: Simplify right side
    411.98x = 167,332.33
  5. Step 5: Solve for x
    x = 167,332.33/411.98
  6. Step 6: Final answer
    x = 406.17

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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.