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Finding the Fourth Proportional to 299.39, 412.97 and 278.55

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Solution

The fourth proportional to 299.39, 412.97 and 278.55 is: 384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.39 : 412.97 = 278.55 : x
  2. Step 2: Convert to fraction form
    299.39/412.97 = 278.55/x
  3. Step 3: Cross multiply
    299.39x = 412.97 × 278.55
  4. Step 4: Simplify right side
    299.39x = 115,031.40
  5. Step 5: Solve for x
    x = 115,031.40/299.39
  6. Step 6: Final answer
    x = 384.23

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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.