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Finding the Fourth Proportional to 433.36, 649.66 and 189.70

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Solution

The fourth proportional to 433.36, 649.66 and 189.70 is: 284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.36 : 649.66 = 189.70 : x
  2. Step 2: Convert to fraction form
    433.36/649.66 = 189.70/x
  3. Step 3: Cross multiply
    433.36x = 649.66 × 189.70
  4. Step 4: Simplify right side
    433.36x = 123,240.50
  5. Step 5: Solve for x
    x = 123,240.50/433.36
  6. Step 6: Final answer
    x = 284.38

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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.