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Finding the Fourth Proportional to 431.43, 596.75 and 339.09

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Solution

The fourth proportional to 431.43, 596.75 and 339.09 is: 469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.43 : 596.75 = 339.09 : x
  2. Step 2: Convert to fraction form
    431.43/596.75 = 339.09/x
  3. Step 3: Cross multiply
    431.43x = 596.75 × 339.09
  4. Step 4: Simplify right side
    431.43x = 202,350.26
  5. Step 5: Solve for x
    x = 202,350.26/431.43
  6. Step 6: Final answer
    x = 469.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.