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Finding the Fourth Proportional to 402.14, 601.04 and 344.36

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Solution

The fourth proportional to 402.14, 601.04 and 344.36 is: 514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 601.04 = 344.36 : x
  2. Step 2: Convert to fraction form
    402.14/601.04 = 344.36/x
  3. Step 3: Cross multiply
    402.14x = 601.04 × 344.36
  4. Step 4: Simplify right side
    402.14x = 206,974.13
  5. Step 5: Solve for x
    x = 206,974.13/402.14
  6. Step 6: Final answer
    x = 514.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.