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Finding the Fourth Proportional to 299.14, 411.83 and 258.24

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Solution

The fourth proportional to 299.14, 411.83 and 258.24 is: 355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.14 : 411.83 = 258.24 : x
  2. Step 2: Convert to fraction form
    299.14/411.83 = 258.24/x
  3. Step 3: Cross multiply
    299.14x = 411.83 × 258.24
  4. Step 4: Simplify right side
    299.14x = 106,347.63
  5. Step 5: Solve for x
    x = 106,347.63/299.14
  6. Step 6: Final answer
    x = 355.51

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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.