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Finding the Fourth Proportional to 447.16, 669.84 and 307.90

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Solution

The fourth proportional to 447.16, 669.84 and 307.90 is: 461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.16 : 669.84 = 307.90 : x
  2. Step 2: Convert to fraction form
    447.16/669.84 = 307.90/x
  3. Step 3: Cross multiply
    447.16x = 669.84 × 307.90
  4. Step 4: Simplify right side
    447.16x = 206,243.74
  5. Step 5: Solve for x
    x = 206,243.74/447.16
  6. Step 6: Final answer
    x = 461.23

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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.