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Finding the Fourth Proportional to 299.08, 411.86 and 257.58

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Solution

The fourth proportional to 299.08, 411.86 and 257.58 is: 354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.08 : 411.86 = 257.58 : x
  2. Step 2: Convert to fraction form
    299.08/411.86 = 257.58/x
  3. Step 3: Cross multiply
    299.08x = 411.86 × 257.58
  4. Step 4: Simplify right side
    299.08x = 106,086.90
  5. Step 5: Solve for x
    x = 106,086.90/299.08
  6. Step 6: Final answer
    x = 354.71

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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.