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Finding the Fourth Proportional to 411.29, 566.98 and 312.87

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Solution

The fourth proportional to 411.29, 566.98 and 312.87 is: 431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.29 : 566.98 = 312.87 : x
  2. Step 2: Convert to fraction form
    411.29/566.98 = 312.87/x
  3. Step 3: Cross multiply
    411.29x = 566.98 × 312.87
  4. Step 4: Simplify right side
    411.29x = 177,392.38
  5. Step 5: Solve for x
    x = 177,392.38/411.29
  6. Step 6: Final answer
    x = 431.31

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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.