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Finding the Fourth Proportional to 447.04, 616.82 and 305.30

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Solution

The fourth proportional to 447.04, 616.82 and 305.30 is: 421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.04 : 616.82 = 305.30 : x
  2. Step 2: Convert to fraction form
    447.04/616.82 = 305.30/x
  3. Step 3: Cross multiply
    447.04x = 616.82 × 305.30
  4. Step 4: Simplify right side
    447.04x = 188,315.15
  5. Step 5: Solve for x
    x = 188,315.15/447.04
  6. Step 6: Final answer
    x = 421.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.