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Finding the Fourth Proportional to 433.64, 649.04 and 279.17

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Solution

The fourth proportional to 433.64, 649.04 and 279.17 is: 417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.64 : 649.04 = 279.17 : x
  2. Step 2: Convert to fraction form
    433.64/649.04 = 279.17/x
  3. Step 3: Cross multiply
    433.64x = 649.04 × 279.17
  4. Step 4: Simplify right side
    433.64x = 181,187.86
  5. Step 5: Solve for x
    x = 181,187.86/433.64
  6. Step 6: Final answer
    x = 417.83

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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.