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Finding the Fourth Proportional to 433.45, 649.68 and 296.47

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Solution

The fourth proportional to 433.45, 649.68 and 296.47 is: 444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.45 : 649.68 = 296.47 : x
  2. Step 2: Convert to fraction form
    433.45/649.68 = 296.47/x
  3. Step 3: Cross multiply
    433.45x = 649.68 × 296.47
  4. Step 4: Simplify right side
    433.45x = 192,610.63
  5. Step 5: Solve for x
    x = 192,610.63/433.45
  6. Step 6: Final answer
    x = 444.37

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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.