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Finding the Fourth Proportional to 411.85, 568.41 and 237.19

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Solution

The fourth proportional to 411.85, 568.41 and 237.19 is: 327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.85 : 568.41 = 237.19 : x
  2. Step 2: Convert to fraction form
    411.85/568.41 = 237.19/x
  3. Step 3: Cross multiply
    411.85x = 568.41 × 237.19
  4. Step 4: Simplify right side
    411.85x = 134,821.17
  5. Step 5: Solve for x
    x = 134,821.17/411.85
  6. Step 6: Final answer
    x = 327.36

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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.