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Finding the Fourth Proportional to 447, 669.48 and 309.42

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Solution

The fourth proportional to 447, 669.48 and 309.42 is: 463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    447 : 669.48 = 309.42 : x
  2. Step 2: Convert to fraction form
    447/669.48 = 309.42/x
  3. Step 3: Cross multiply
    447x = 669.48 × 309.42
  4. Step 4: Simplify right side
    447x = 207,150.50
  5. Step 5: Solve for x
    x = 207,150.50/447
  6. Step 6: Final answer
    x = 463.42

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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.