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Finding the Fourth Proportional to 433.53, 649.79 and 189.79

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Solution

The fourth proportional to 433.53, 649.79 and 189.79 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.53 : 649.79 = 189.79 : x
  2. Step 2: Convert to fraction form
    433.53/649.79 = 189.79/x
  3. Step 3: Cross multiply
    433.53x = 649.79 × 189.79
  4. Step 4: Simplify right side
    433.53x = 123,319.45
  5. Step 5: Solve for x
    x = 123,319.45/433.53
  6. Step 6: Final answer
    x = 284.45

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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.