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Finding the Fourth Proportional to 299.36, 412.80 and 258.04

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Solution

The fourth proportional to 299.36, 412.80 and 258.04 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 412.80 = 258.04 : x
  2. Step 2: Convert to fraction form
    299.36/412.80 = 258.04/x
  3. Step 3: Cross multiply
    299.36x = 412.80 × 258.04
  4. Step 4: Simplify right side
    299.36x = 106,518.91
  5. Step 5: Solve for x
    x = 106,518.91/299.36
  6. Step 6: Final answer
    x = 355.82

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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.