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Finding the Fourth Proportional to 299.07, 412.19 and 257.45

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Solution

The fourth proportional to 299.07, 412.19 and 257.45 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 412.19 = 257.45 : x
  2. Step 2: Convert to fraction form
    299.07/412.19 = 257.45/x
  3. Step 3: Cross multiply
    299.07x = 412.19 × 257.45
  4. Step 4: Simplify right side
    299.07x = 106,118.32
  5. Step 5: Solve for x
    x = 106,118.32/299.07
  6. Step 6: Final answer
    x = 354.83

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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.