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Finding the Fourth Proportional to 411.95, 568.70 and 323.24

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Solution

The fourth proportional to 411.95, 568.70 and 323.24 is: 446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.95 : 568.70 = 323.24 : x
  2. Step 2: Convert to fraction form
    411.95/568.70 = 323.24/x
  3. Step 3: Cross multiply
    411.95x = 568.70 × 323.24
  4. Step 4: Simplify right side
    411.95x = 183,822.13
  5. Step 5: Solve for x
    x = 183,822.13/411.95
  6. Step 6: Final answer
    x = 446.22

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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.