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Finding the Fourth Proportional to 431.77, 596.60 and 339.25

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Solution

The fourth proportional to 431.77, 596.60 and 339.25 is: 468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.77 : 596.60 = 339.25 : x
  2. Step 2: Convert to fraction form
    431.77/596.60 = 339.25/x
  3. Step 3: Cross multiply
    431.77x = 596.60 × 339.25
  4. Step 4: Simplify right side
    431.77x = 202,398.02
  5. Step 5: Solve for x
    x = 202,398.02/431.77
  6. Step 6: Final answer
    x = 468.76

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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.