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Finding the Fourth Proportional to 334.89, 464.27 and 317.33

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Solution

The fourth proportional to 334.89, 464.27 and 317.33 is: 439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.89 : 464.27 = 317.33 : x
  2. Step 2: Convert to fraction form
    334.89/464.27 = 317.33/x
  3. Step 3: Cross multiply
    334.89x = 464.27 × 317.33
  4. Step 4: Simplify right side
    334.89x = 147,322.89
  5. Step 5: Solve for x
    x = 147,322.89/334.89
  6. Step 6: Final answer
    x = 439.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.