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Finding the Fourth Proportional to 339.42, 505.83 and 329.01

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Solution

The fourth proportional to 339.42, 505.83 and 329.01 is: 490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.42 : 505.83 = 329.01 : x
  2. Step 2: Convert to fraction form
    339.42/505.83 = 329.01/x
  3. Step 3: Cross multiply
    339.42x = 505.83 × 329.01
  4. Step 4: Simplify right side
    339.42x = 166,423.13
  5. Step 5: Solve for x
    x = 166,423.13/339.42
  6. Step 6: Final answer
    x = 490.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.