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Finding the Fourth Proportional to 433.30, 598.44 and 286.60

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Solution

The fourth proportional to 433.30, 598.44 and 286.60 is: 395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.30 : 598.44 = 286.60 : x
  2. Step 2: Convert to fraction form
    433.30/598.44 = 286.60/x
  3. Step 3: Cross multiply
    433.30x = 598.44 × 286.60
  4. Step 4: Simplify right side
    433.30x = 171,512.90
  5. Step 5: Solve for x
    x = 171,512.90/433.30
  6. Step 6: Final answer
    x = 395.83

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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.