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Finding the Fourth Proportional to 334.62, 459.14 and 321.66

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Solution

The fourth proportional to 334.62, 459.14 and 321.66 is: 441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.62 : 459.14 = 321.66 : x
  2. Step 2: Convert to fraction form
    334.62/459.14 = 321.66/x
  3. Step 3: Cross multiply
    334.62x = 459.14 × 321.66
  4. Step 4: Simplify right side
    334.62x = 147,685.36
  5. Step 5: Solve for x
    x = 147,685.36/334.62
  6. Step 6: Final answer
    x = 441.35

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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.