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Finding the Fourth Proportional to 334.15, 460.06 and 294.78

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Solution

The fourth proportional to 334.15, 460.06 and 294.78 is: 405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.15 : 460.06 = 294.78 : x
  2. Step 2: Convert to fraction form
    334.15/460.06 = 294.78/x
  3. Step 3: Cross multiply
    334.15x = 460.06 × 294.78
  4. Step 4: Simplify right side
    334.15x = 135,616.49
  5. Step 5: Solve for x
    x = 135,616.49/334.15
  6. Step 6: Final answer
    x = 405.86

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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.