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Finding the Fourth Proportional to 339.33, 505.86 and 334.07

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Solution

The fourth proportional to 339.33, 505.86 and 334.07 is: 498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.33 : 505.86 = 334.07 : x
  2. Step 2: Convert to fraction form
    339.33/505.86 = 334.07/x
  3. Step 3: Cross multiply
    339.33x = 505.86 × 334.07
  4. Step 4: Simplify right side
    339.33x = 168,990.12
  5. Step 5: Solve for x
    x = 168,990.12/339.33
  6. Step 6: Final answer
    x = 498.01

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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.