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Finding the Fourth Proportional to 339.07, 464.78 and 334.46

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Solution

The fourth proportional to 339.07, 464.78 and 334.46 is: 458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.07 : 464.78 = 334.46 : x
  2. Step 2: Convert to fraction form
    339.07/464.78 = 334.46/x
  3. Step 3: Cross multiply
    339.07x = 464.78 × 334.46
  4. Step 4: Simplify right side
    339.07x = 155,449.10
  5. Step 5: Solve for x
    x = 155,449.10/339.07
  6. Step 6: Final answer
    x = 458.46

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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.