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Finding the Fourth Proportional to 334.21, 460.42 and 301.45

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Solution

The fourth proportional to 334.21, 460.42 and 301.45 is: 415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.21 : 460.42 = 301.45 : x
  2. Step 2: Convert to fraction form
    334.21/460.42 = 301.45/x
  3. Step 3: Cross multiply
    334.21x = 460.42 × 301.45
  4. Step 4: Simplify right side
    334.21x = 138,793.61
  5. Step 5: Solve for x
    x = 138,793.61/334.21
  6. Step 6: Final answer
    x = 415.29

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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.