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Finding the Fourth Proportional to 433.92, 599.05 and 286.81

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Solution

The fourth proportional to 433.92, 599.05 and 286.81 is: 395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.92 : 599.05 = 286.81 : x
  2. Step 2: Convert to fraction form
    433.92/599.05 = 286.81/x
  3. Step 3: Cross multiply
    433.92x = 599.05 × 286.81
  4. Step 4: Simplify right side
    433.92x = 171,810.78
  5. Step 5: Solve for x
    x = 171,810.78/433.92
  6. Step 6: Final answer
    x = 395.95

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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.