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Finding the Fourth Proportional to 433.19, 649.80 and 108.56

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Solution

The fourth proportional to 433.19, 649.80 and 108.56 is: 162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.19 : 649.80 = 108.56 : x
  2. Step 2: Convert to fraction form
    433.19/649.80 = 108.56/x
  3. Step 3: Cross multiply
    433.19x = 649.80 × 108.56
  4. Step 4: Simplify right side
    433.19x = 70,543.91
  5. Step 5: Solve for x
    x = 70,543.91/433.19
  6. Step 6: Final answer
    x = 162.85

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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.