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Finding the Fourth Proportional to 297.69, 409.13 and 279.33

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Solution

The fourth proportional to 297.69, 409.13 and 279.33 is: 383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.69 : 409.13 = 279.33 : x
  2. Step 2: Convert to fraction form
    297.69/409.13 = 279.33/x
  3. Step 3: Cross multiply
    297.69x = 409.13 × 279.33
  4. Step 4: Simplify right side
    297.69x = 114,280.89
  5. Step 5: Solve for x
    x = 114,280.89/297.69
  6. Step 6: Final answer
    x = 383.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.