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Finding the Fourth Proportional to 447.50, 669.82 and 292.18

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Solution

The fourth proportional to 447.50, 669.82 and 292.18 is: 437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 669.82 = 292.18 : x
  2. Step 2: Convert to fraction form
    447.50/669.82 = 292.18/x
  3. Step 3: Cross multiply
    447.50x = 669.82 × 292.18
  4. Step 4: Simplify right side
    447.50x = 195,708.01
  5. Step 5: Solve for x
    x = 195,708.01/447.50
  6. Step 6: Final answer
    x = 437.34

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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.