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Finding the Fourth Proportional to 433.68, 649.83 and 259.92

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Solution

The fourth proportional to 433.68, 649.83 and 259.92 is: 389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 649.83 = 259.92 : x
  2. Step 2: Convert to fraction form
    433.68/649.83 = 259.92/x
  3. Step 3: Cross multiply
    433.68x = 649.83 × 259.92
  4. Step 4: Simplify right side
    433.68x = 168,903.81
  5. Step 5: Solve for x
    x = 168,903.81/433.68
  6. Step 6: Final answer
    x = 389.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.